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100492960 = 2554191499
BaseRepresentation
bin1011111110101…
…10011010100000
321000002120102111
411333112122200
5201211233320
613545525104
72330114251
oct577263240
9230076374
10100492960
11517a8937
12297a3794
1317a86cb9
14d4bcb28
158c50a5a
hex5fd66a0

100492960 has 48 divisors (see below), whose sum is σ = 238140000. Its totient is φ = 40074496.

The previous prime is 100492921. The next prime is 100492961. The reversal of 100492960 is 69294001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100492961) 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, 66291 + ... + 67789.

It is an arithmetic number, because the mean of its divisors is an integer number (4961250).

Almost surely, 2100492960 is an apocalyptic number.

100492960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100492960 is an abundant number, since it is smaller than the sum of its proper divisors (137647040).

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

100492960 is a wasteful number, since it uses less digits than its factorization.

100492960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 100492960 is about 10024.6176984462. The cubic root of 100492960 is about 464.9203393812.

The spelling of 100492960 in words is "one hundred million, four hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 419 838 1499 1676 2095 2998 3352 4190 5996 6704 7495 8380 11992 13408 14990 16760 23984 29980 33520 47968 59960 67040 119920 239840 628081 1256162 2512324 3140405 5024648 6280810 10049296 12561620 20098592 25123240 50246480 100492960