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100952040 = 23357120181
BaseRepresentation
bin1100000010001…
…10011111101000
321000221220011110
412001012133220
5201320431130
614003430320
72334035550
oct601063750
9230856143
10100952040
1151a91842
12299853a0
1317bb7c47
14d59c160
158ce1ab0
hex60467e8

100952040 has 64 divisors (see below), whose sum is σ = 346124160. Its totient is φ = 23074560.

The previous prime is 100952023. The next prime is 100952063. The reversal of 100952040 is 40259001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 100951998 and 100952016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59251 + ... + 60930.

It is an arithmetic number, because the mean of its divisors is an integer number (5408190).

Almost surely, 2100952040 is an apocalyptic number.

100952040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100952040 is an abundant number, since it is smaller than the sum of its proper divisors (245172120).

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

100952040 is a wasteful number, since it uses less digits than its factorization.

100952040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120202 (or 120198 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 100952040 is about 10047.4892386108. The cubic root of 100952040 is about 465.6272261804.

The spelling of 100952040 in words is "one hundred million, nine hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 120181 240362 360543 480724 600905 721086 841267 961448 1201810 1442172 1682534 1802715 2403620 2523801 2884344 3365068 3605430 4206335 4807240 5047602 6730136 7210860 8412670 10095204 12619005 14421720 16825340 20190408 25238010 33650680 50476020 100952040