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1242133440 = 26355324413
BaseRepresentation
bin100101000001001…
…0111001111000000
310012120021220202020
41022002113033000
510020441232230
6323131121440
742531650202
oct11202271700
93176256666
101242133440
11588174269
122a7ba3280
1316a457102
14bad7a772
15740ae810
hex4a0973c0

1242133440 has 112 divisors (see below), whose sum is σ = 4018349088. Its totient is φ = 324972544.

The previous prime is 1242133433. The next prime is 1242133457. The reversal of 1242133440 is 443312421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1242133440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38674 + ... + 63086.

Almost surely, 21242133440 is an apocalyptic number.

1242133440 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 1242133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009174544).

1242133440 is an abundant number, since it is smaller than the sum of its proper divisors (2776215648).

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

1242133440 is a wasteful number, since it uses less digits than its factorization.

1242133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24486 (or 24476 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1242133440 is about 35243.9135170883. The cubic root of 1242133440 is about 1074.9528560540.

Adding to 1242133440 its reverse (443312421), we get a palindrome (1685445861).

The spelling of 1242133440 in words is "one billion, two hundred forty-two million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 159 160 192 212 240 265 318 320 424 480 530 636 795 848 960 1060 1272 1590 1696 2120 2544 3180 3392 4240 5088 6360 8480 10176 12720 16960 24413 25440 48826 50880 73239 97652 122065 146478 195304 244130 292956 366195 390608 488260 585912 732390 781216 976520 1171824 1293889 1464780 1562432 1953040 2343648 2587778 2929560 3881667 3906080 4687296 5175556 5859120 6469445 7763334 7812160 10351112 11718240 12938890 15526668 19408335 20702224 23436480 25877780 31053336 38816670 41404448 51755560 62106672 77633340 82808896 103511120 124213344 155266680 207022240 248426688 310533360 414044480 621066720 1242133440