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10295371920 = 2435192257757
BaseRepresentation
bin10011001011010011…
…01110100010010000
3222120111120002020010
421211221232202100
5132041103400140
64421333314520
7513062134401
oct114551564220
928514502203
1010295371920
114403518339
121bb3a95a40
13c80c57862
146d948d9a8
15403ca5880
hex265a6e890

10295371920 has 80 divisors (see below), whose sum is σ = 33595439040. Its totient is φ = 2600934912.

The previous prime is 10295371913. The next prime is 10295371927. The reversal of 10295371920 is 2917359201.

It is an interprime number because it is at equal distance from previous prime (10295371913) and next prime (10295371927).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102953719202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10295371927) 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, 1124319 + ... + 1133438.

It is an arithmetic number, because the mean of its divisors is an integer number (419942988).

Almost surely, 210295371920 is an apocalyptic number.

10295371920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10295371920 is an abundant number, since it is smaller than the sum of its proper divisors (23300067120).

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

10295371920 is a wasteful number, since it uses less digits than its factorization.

10295371920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257792 (or 2257786 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The spelling of 10295371920 in words is "ten billion, two hundred ninety-five million, three hundred seventy-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 2257757 4515514 6773271 9031028 11288785 13546542 18062056 22577570 27093084 33866355 36124112 42897383 45155140 54186168 67732710 85794766 90310280 108372336 128692149 135465420 171589532 180620560 214486915 257384298 270930840 343179064 428973830 514768596 541861680 643460745 686358128 857947660 1029537192 1286921490 1715895320 2059074384 2573842980 3431790640 5147685960 10295371920