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102155424 = 2537152017
BaseRepresentation
bin1100001011011…
…00010010100000
321010020000220020
412011230102200
5202122433144
614045313440
72350210140
oct605542240
9233200806
10102155424
1152733978
122a265880
13182198c7
14d7d2920
158e7d419
hex616c4a0

102155424 has 48 divisors (see below), whose sum is σ = 306468288. Its totient is φ = 29187072.

The previous prime is 102155423. The next prime is 102155461. The reversal of 102155424 is 424551201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 102155394 and 102155403.

It is not an unprimeable number, because it can be changed into a prime (102155423) 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, 75337 + ... + 76680.

It is an arithmetic number, because the mean of its divisors is an integer number (6384756).

Almost surely, 2102155424 is an apocalyptic number.

102155424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102155424 is an abundant number, since it is smaller than the sum of its proper divisors (204312864).

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

102155424 is a wasteful number, since it uses less digits than its factorization.

102155424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152037 (or 152029 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 102155424 is about 10107.1966439760. The cubic root of 102155424 is about 467.4700700524.

The spelling of 102155424 in words is "one hundred two million, one hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 152017 304034 456051 608068 912102 1064119 1216136 1824204 2128238 2432272 3192357 3648408 4256476 4864544 6384714 7296816 8512952 12769428 14593632 17025904 25538856 34051808 51077712 102155424