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103143864 = 23337412833
BaseRepresentation
bin1100010010111…
…01100110111000
321012002020210010
412021131212320
5202401100424
614122421520
72361464655
oct611354670
9235066703
10103143864
115324956a
122a6618a0
13184a4795
14d9acc2c
1590c6229
hex625d9b8

103143864 has 64 divisors (see below), whose sum is σ = 271383840. Its totient is φ = 32624640.

The previous prime is 103143847. The next prime is 103143869. The reversal of 103143864 is 468341301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103143869) 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, 34992 + ... + 37824.

Almost surely, 2103143864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103143864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135691920).

103143864 is an abundant number, since it is smaller than the sum of its proper divisors (168239976).

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

103143864 is a wasteful number, since it uses less digits than its factorization.

103143864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 103143864 is about 10155.9767624783. The cubic root of 103143864 is about 468.9729557678.

The spelling of 103143864 in words is "one hundred three million, one hundred forty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 37 41 74 82 111 123 148 164 222 246 296 328 444 492 888 984 1517 2833 3034 4551 5666 6068 8499 9102 11332 12136 16998 18204 22664 33996 36408 67992 104821 116153 209642 232306 314463 348459 419284 464612 628926 696918 838568 929224 1257852 1393836 2515704 2787672 4297661 8595322 12892983 17190644 25785966 34381288 51571932 103143864