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1240244040 = 233576172393
BaseRepresentation
bin100100111101100…
…1001111101001000
310012102201220222110
41021323021331020
510020000302130
6323022422320
742506620560
oct11173117510
93172656873
101240244040
115870a3782
122a74319a0
13169c45119
14baa07da0
1573d39ab0
hex49ec9f48

1240244040 has 128 divisors (see below), whose sum is σ = 4260936960. Its totient is φ = 282906624.

The previous prime is 1240244029. The next prime is 1240244059. The reversal of 1240244040 is 404420421.

1240244040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1240243998 and 1240244016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517084 + ... + 519476.

It is an arithmetic number, because the mean of its divisors is an integer number (33288570).

Almost surely, 21240244040 is an apocalyptic number.

1240244040 is a gapful number since it is divisible by the number (10) 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 1240244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130468480).

1240244040 is an abundant number, since it is smaller than the sum of its proper divisors (3020692920).

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

1240244040 is a wasteful number, since it uses less digits than its factorization.

1240244040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 1240244040 is about 35217.0986879953. The cubic root of 1240244040 is about 1074.4075451882.

Adding to 1240244040 its reverse (404420421), we get a palindrome (1644664461).

The spelling of 1240244040 in words is "one billion, two hundred forty million, two hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 617 840 1234 1851 2393 2468 3085 3702 4319 4786 4936 6170 7179 7404 8638 9255 9572 11965 12340 12957 14358 14808 16751 17276 18510 19144 21595 23930 24680 25914 28716 33502 34552 35895 37020 43190 47860 50253 51828 57432 64785 67004 71790 74040 83755 86380 95720 100506 103656 129570 134008 143580 167510 172760 201012 251265 259140 287160 335020 402024 502530 518280 670040 1005060 1476481 2010120 2952962 4429443 5905924 7382405 8858886 10335367 11811848 14764810 17717772 20670734 22147215 29529620 31006101 35435544 41341468 44294430 51676835 59059240 62012202 82682936 88588860 103353670 124024404 155030505 177177720 206707340 248048808 310061010 413414680 620122020 1240244040