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10024402340 = 22523731372179
BaseRepresentation
bin10010101011000000…
…00011110110100100
3221212121200101211202
421111200003312210
5131012221333330
64334413422032
7503262004541
oct112540036644
927777611752
1010024402340
114284571937
121b3919a918
13c39a82624
146b14b5bc8
153da0cd445
hex255803da4

10024402340 has 96 divisors (see below), whose sum is σ = 22440257280. Its totient is φ = 3753547776.

The previous prime is 10024402303. The next prime is 10024402357. The reversal of 10024402340 is 4320442001.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 4599371 + ... + 4601549.

It is an arithmetic number, because the mean of its divisors is an integer number (233752680).

Almost surely, 210024402340 is an apocalyptic number.

10024402340 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 10024402340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11220128640).

10024402340 is an abundant number, since it is smaller than the sum of its proper divisors (12415854940).

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

10024402340 is a wasteful number, since it uses less digits than its factorization.

10024402340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10024402340 its reverse (4320442001), we get a palindrome (14344844341).

The spelling of 10024402340 in words is "ten billion, twenty-four million, four hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 73 92 115 137 146 230 274 292 365 460 548 685 730 1370 1460 1679 2179 2740 3151 3358 4358 6302 6716 8395 8716 10001 10895 12604 15755 16790 20002 21790 31510 33580 40004 43580 50005 50117 63020 100010 100234 159067 200020 200468 230023 250585 298523 318134 460046 501170 597046 636268 795335 920092 1002340 1150115 1194092 1492615 1590670 2300230 2985230 3181340 3658541 4600460 5970460 6866029 7317082 13732058 14634164 18292705 21792179 27464116 34330145 36585410 43584358 68660290 73170820 87168716 108960895 137320580 217921790 435843580 501220117 1002440234 2004880468 2506100585 5012201170 10024402340