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102154040 = 23523373001
BaseRepresentation
bin1100001011010…
…11111100111000
321010012221222222
412011223330320
5202122412130
614045303212
72350203122
oct605537470
9233187888
10102154040
115273292a
122a264b08
13182190a1
14d7d2212
158e7cce5
hex616bf38

102154040 has 64 divisors (see below), whose sum is σ = 246404160. Its totient is φ = 38016000.

The previous prime is 102154027. The next prime is 102154049. The reversal of 102154040 is 40451201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102154049) 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, 32540 + ... + 35540.

It is an arithmetic number, because the mean of its divisors is an integer number (3850065).

Almost surely, 2102154040 is an apocalyptic number.

102154040 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 102154040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123202080).

102154040 is an abundant number, since it is smaller than the sum of its proper divisors (144250120).

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

102154040 is a wasteful number, since it uses less digits than its factorization.

102154040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 102154040 is about 10107.1281776774. The cubic root of 102154040 is about 467.4679589506.

The spelling of 102154040 in words is "one hundred two million, one hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 37 40 46 74 92 115 148 184 185 230 296 370 460 740 851 920 1480 1702 3001 3404 4255 6002 6808 8510 12004 15005 17020 24008 30010 34040 60020 69023 111037 120040 138046 222074 276092 345115 444148 552184 555185 690230 888296 1110370 1380460 2220740 2553851 2760920 4441480 5107702 10215404 12769255 20430808 25538510 51077020 102154040