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139416072 = 23319417457
BaseRepresentation
bin10000100111101…
…01001000001000
3100201100001220020
420103311020020
5241142303242
621500100440
73312005565
oct1023651010
9321301806
10139416072
11717733a4
123a834720
1322b64623
141473186c
15c38d6ec
hex84f5208

139416072 has 64 divisors (see below), whose sum is σ = 375883200. Its totient is φ = 42946560.

The previous prime is 139415989. The next prime is 139416073. The reversal of 139416072 is 270614931.

It is a super-2 number, since 2×1394160722 = 38873682263818368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (139416073) 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, 14968 + ... + 22424.

It is an arithmetic number, because the mean of its divisors is an integer number (5873175).

Almost surely, 2139416072 is an apocalyptic number.

139416072 is a gapful number since it is divisible by the number (12) 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 139416072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187941600).

139416072 is an abundant number, since it is smaller than the sum of its proper divisors (236467128).

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

139416072 is a wasteful number, since it uses less digits than its factorization.

139416072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7526 (or 7522 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 139416072 is about 11807.4583209089. The cubic root of 139416072 is about 518.5264892436.

The spelling of 139416072 in words is "one hundred thirty-nine million, four hundred sixteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 41 57 76 82 114 123 152 164 228 246 328 456 492 779 984 1558 2337 3116 4674 6232 7457 9348 14914 18696 22371 29828 44742 59656 89484 141683 178968 283366 305737 425049 566732 611474 850098 917211 1133464 1222948 1700196 1834422 2445896 3400392 3668844 5809003 7337688 11618006 17427009 23236012 34854018 46472024 69708036 139416072