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103381152 = 2537153841
BaseRepresentation
bin1100010100101…
…11100010100000
321012112022021120
412022113202200
5202431144102
614131452240
72363503530
oct612274240
9235468246
10103381152
11533a0876
122a757080
13185587a4
14da314c0
1591216bc
hex62978a0

103381152 has 48 divisors (see below), whose sum is σ = 310145472. Its totient is φ = 29537280.

The previous prime is 103381081. The next prime is 103381171. The reversal of 103381152 is 251183301.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76249 + ... + 77592.

It is an arithmetic number, because the mean of its divisors is an integer number (6461364).

Almost surely, 2103381152 is an apocalyptic number.

103381152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103381152 is an abundant number, since it is smaller than the sum of its proper divisors (206764320).

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

103381152 is a wasteful number, since it uses less digits than its factorization.

103381152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153861 (or 153853 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 103381152 is about 10167.6522363818. The cubic root of 103381152 is about 469.3323128278.

The spelling of 103381152 in words is "one hundred three million, three hundred eighty-one thousand, one hundred fifty-two".

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 153841 307682 461523 615364 923046 1076887 1230728 1846092 2153774 2461456 3230661 3692184 4307548 4922912 6461322 7384368 8615096 12922644 14768736 17230192 25845288 34460384 51690576 103381152