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102152440 = 23513316337
BaseRepresentation
bin1100001011010…
…11100011111000
321010012212210201
412011223203320
5202122334230
614045251544
72350165345
oct605534370
9233185721
10102152440
1152731705
122a263bb4
1318218440
14d7d17cc
158e7c5ca
hex616b8f8

102152440 has 64 divisors (see below), whose sum is σ = 255548160. Its totient is φ = 36495360.

The previous prime is 102152437. The next prime is 102152441. The reversal of 102152440 is 44251201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102152441) 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, 12952 + ... + 19288.

It is an arithmetic number, because the mean of its divisors is an integer number (3992940).

Almost surely, 2102152440 is an apocalyptic number.

102152440 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 102152440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127774080).

102152440 is an abundant number, since it is smaller than the sum of its proper divisors (153395720).

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

102152440 is a wasteful number, since it uses less digits than its factorization.

102152440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6392 (or 6388 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 102152440 is about 10107.0490253090. The cubic root of 102152440 is about 467.4655183467.

The spelling of 102152440 in words is "one hundred two million, one hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 2015 3224 4030 6337 8060 12674 16120 25348 31685 50696 63370 82381 126740 164762 196447 253480 329524 392894 411905 659048 785788 823810 982235 1571576 1647620 1964470 2553811 3295240 3928940 5107622 7857880 10215244 12769055 20430488 25538110 51076220 102152440