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138160032 = 2534333469
BaseRepresentation
bin10000011110000…
…10011110100000
3100121222020221020
420033002132200
5240332110112
621413125440
73265224633
oct1017023640
9317866836
10138160032
1170a9574a
123a329880
13228149ca
14144c5c1a
15c1e148c
hex83c27a0

138160032 has 48 divisors (see below), whose sum is σ = 371115360. Its totient is φ = 44980992.

The previous prime is 138159997. The next prime is 138160063. The reversal of 138160032 is 230061831.

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 = 138159984 and 138160011.

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, 12607 + ... + 20862.

It is an arithmetic number, because the mean of its divisors is an integer number (7731570).

Almost surely, 2138160032 is an apocalyptic number.

138160032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138160032 is an abundant number, since it is smaller than the sum of its proper divisors (232955328).

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

138160032 is a wasteful number, since it uses less digits than its factorization.

138160032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33525 (or 33517 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 138160032 is about 11754.1495651536. The cubic root of 138160032 is about 516.9646039266.

The spelling of 138160032 in words is "one hundred thirty-eight million, one hundred sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 33469 66938 100407 133876 200814 267752 401628 535504 803256 1071008 1439167 1606512 2878334 3213024 4317501 5756668 8635002 11513336 17270004 23026672 34540008 46053344 69080016 138160032