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1240413696 = 2933531693
BaseRepresentation
bin100100111101111…
…0011011000000000
310012110001112201000
41021323303120000
510020021214241
6323030212000
742511225314
oct11173633000
93173045630
101240413696
115871aa195
122a74b4000
13169ca4402
14baa4db44
1573d6eeb6
hex49ef3600

1240413696 has 160 divisors (see below), whose sum is σ = 3743197920. Its totient is φ = 405430272.

The previous prime is 1240413661. The next prime is 1240413697. The reversal of 1240413696 is 6963140421.

It is a super-2 number, since 2×12404136962 = 3077252274448760832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1240413696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240413697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 731826 + ... + 733518.

It is an arithmetic number, because the mean of its divisors is an integer number (23394987).

Almost surely, 21240413696 is an apocalyptic number.

1240413696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1240413696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871598960).

1240413696 is an abundant number, since it is smaller than the sum of its proper divisors (2502784224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1240413696 is an equidigital number, since it uses as much as digits as its factorization.

1240413696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1240413696 is about 35219.5073219374. The cubic root of 1240413696 is about 1074.4565332286.

The spelling of 1240413696 in words is "one billion, two hundred forty million, four hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 128 144 159 192 212 216 256 288 318 384 424 432 477 512 576 636 768 848 864 954 1152 1272 1431 1536 1693 1696 1728 1908 2304 2544 2862 3386 3392 3456 3816 4608 5079 5088 5724 6772 6784 6912 7632 10158 10176 11448 13544 13568 13824 15237 15264 20316 20352 22896 27088 27136 30474 30528 40632 40704 45711 45792 54176 60948 61056 81264 81408 89729 91422 91584 108352 121896 122112 162528 179458 182844 183168 216704 243792 244224 269187 325056 358916 365688 366336 433408 487584 538374 650112 717832 731376 732672 807561 866816 975168 1076748 1300224 1435664 1462752 1615122 1950336 2153496 2422683 2600448 2871328 2925504 3230244 3900672 4306992 4845366 5742656 5851008 6460488 7801344 8613984 9690732 11485312 11702016 12920976 17227968 19381464 22970624 23404032 25841952 34455936 38762928 45941248 51683904 68911872 77525856 103367808 137823744 155051712 206735616 310103424 413471232 620206848 1240413696