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900830960 = 24571158597
BaseRepresentation
bin110101101100011…
…001011011110000
32022210001221202122
4311230121123300
53321103042320
6225215533412
731215636221
oct6554313360
92283057678
10900830960
1142254a6a7
1221182a268
13114827993
14878d5248
1554142d25
hex35b196f0

900830960 has 40 divisors (see below), whose sum is σ = 2123944416. Its totient is φ = 355255040.

The previous prime is 900830947. The next prime is 900830963. The reversal of 900830960 is 69038009.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×9008309602 = 1622992836989043200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 900830960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900830963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73619 + ... + 84978.

Almost surely, 2900830960 is an apocalyptic number.

It is an amenable number.

900830960 is an abundant number, since it is smaller than the sum of its proper divisors (1223113456).

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

900830960 is a wasteful number, since it uses less digits than its factorization.

900830960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158681 (or 158675 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 900830960 is about 30013.8461380743. The cubic root of 900830960 is about 965.7864350770.

Adding to 900830960 its reverse (69038009), we get a palindrome (969868969).

The spelling of 900830960 in words is "nine hundred million, eight hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5680 158597 317194 634388 792985 1268776 1585970 2537552 3171940 6343880 11260387 12687760 22520774 45041548 56301935 90083096 112603870 180166192 225207740 450415480 900830960