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901030656 = 2833173701
BaseRepresentation
bin110101101101001…
…010001100000000
32022210110002200210
4311231022030000
53321130440111
6225224114120
731220430351
oct6555121400
92283402623
10901030656
11422676739
12211905940
13114897846
1487947d28
15541820a6
hex35b4a300

901030656 has 72 divisors (see below), whose sum is σ = 2406270384. Its totient is φ = 299315200.

The previous prime is 901030633. The next prime is 901030679. The reversal of 901030656 is 656030109.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (901030633) and next prime (901030679).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241606 + ... + 245306.

It is an arithmetic number, because the mean of its divisors is an integer number (33420422).

Almost surely, 2901030656 is an apocalyptic number.

901030656 is a gapful number since it is divisible by the number (96) 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 901030656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203135192).

901030656 is an abundant number, since it is smaller than the sum of its proper divisors (1505239728).

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

901030656 is a wasteful number, since it uses less digits than its factorization.

901030656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4037 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 901030656 is about 30017.1726849815. The cubic root of 901030656 is about 965.8577949091.

The spelling of 901030656 in words is "nine hundred one million, thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 317 384 634 768 951 1268 1902 2536 3701 3804 5072 7402 7608 10144 11103 14804 15216 20288 22206 29608 30432 40576 44412 59216 60864 81152 88824 118432 121728 177648 236864 243456 355296 473728 710592 947456 1173217 1421184 2346434 2842368 3519651 4692868 7039302 9385736 14078604 18771472 28157208 37542944 56314416 75085888 112628832 150171776 225257664 300343552 450515328 901030656