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100332040 = 2354615441
BaseRepresentation
bin1011111101011…
…11001000001000
320222210101200111
411332233020020
5201141111130
613542244104
72325544144
oct576571010
9228711614
10100332040
11516a8a46
1229726634
1317a2b993
14d47a224
158c1d02a
hex5faf208

100332040 has 32 divisors (see below), whose sum is σ = 226278360. Its totient is φ = 40038400.

The previous prime is 100331971. The next prime is 100332041. The reversal of 100332040 is 40233001.

It can be written as a sum of positive squares in 4 ways, for example, as 82337476 + 17994564 = 9074^2 + 4242^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100332040.

It is not an unprimeable number, because it can be changed into a prime (100332041) 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, 15720 + ... + 21160.

Almost surely, 2100332040 is an apocalyptic number.

100332040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100332040 is an abundant number, since it is smaller than the sum of its proper divisors (125946320).

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

100332040 is a wasteful number, since it uses less digits than its factorization.

100332040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5913 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 100332040 is about 10016.5882415122. The cubic root of 100332040 is about 464.6720468624.

Adding to 100332040 its reverse (40233001), we get a palindrome (140565041).

The spelling of 100332040 in words is "one hundred million, three hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 461 922 1844 2305 3688 4610 5441 9220 10882 18440 21764 27205 43528 54410 108820 217640 2508301 5016602 10033204 12541505 20066408 25083010 50166020 100332040