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102375040 = 275198419
BaseRepresentation
bin1100001101000…
…01111010000000
321010122012011011
412012201322000
5202202000130
614054130304
72352113335
oct606417200
9233565134
10102375040
1152873979
122a350994
1318295861
14d84c98c
158ec352a
hex61a1e80

102375040 has 64 divisors (see below), whose sum is σ = 257652000. Its totient is φ = 38790144.

The previous prime is 102374917. The next prime is 102375043. The reversal of 102375040 is 40573201.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (102375043) 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, 7951 + ... + 16369.

Almost surely, 2102375040 is an apocalyptic number.

102375040 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 102375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128826000).

102375040 is an abundant number, since it is smaller than the sum of its proper divisors (155276960).

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

102375040 is an equidigital number, since it uses as much as digits as its factorization.

102375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8457 (or 8445 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 102375040 is about 10118.0551490887. The cubic root of 102375040 is about 467.8048227945.

The spelling of 102375040 in words is "one hundred two million, three hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 6080 8419 12160 16838 33676 42095 67352 84190 134704 159961 168380 269408 319922 336760 538816 639844 673520 799805 1077632 1279688 1347040 1599610 2559376 2694080 3199220 5118752 5388160 6398440 10237504 12796880 20475008 25593760 51187520 102375040