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10927291000 = 2353101108191
BaseRepresentation
bin10100010110101000…
…10011101001111000
31001012112121220020111
422023110103221320
5134334341303000
65004145434104
7534534304153
oct121324235170
931175556214
1010927291000
1146a819750a
12214b63b934
131051b4aa82
14759384c9a
1543e4cacba
hex28b513a78

10927291000 has 64 divisors (see below), whose sum is σ = 25823266560. Its totient is φ = 4327600000.

The previous prime is 10927290971. The next prime is 10927291009. The reversal of 10927291000 is 19272901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10927291009) 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, 46905 + ... + 155095.

It is an arithmetic number, because the mean of its divisors is an integer number (403488540).

Almost surely, 210927291000 is an apocalyptic number.

10927291000 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 10927291000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12911633280).

10927291000 is an abundant number, since it is smaller than the sum of its proper divisors (14895975560).

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

10927291000 is a wasteful number, since it uses less digits than its factorization.

10927291000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108313 (or 108299 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 31.

The spelling of 10927291000 in words is "ten billion, nine hundred twenty-seven million, two hundred ninety-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20200 25250 50500 101000 108191 216382 432764 540955 865528 1081910 2163820 2704775 4327640 5409550 10819100 10927291 13523875 21638200 21854582 27047750 43709164 54095500 54636455 87418328 108191000 109272910 218545820 273182275 437091640 546364550 1092729100 1365911375 2185458200 2731822750 5463645500 10927291000