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139845672 = 233217611873
BaseRepresentation
bin10000101010111…
…10000000101000
3100202010220012100
420111132000220
5241300030142
621513213400
73315445221
oct1025360050
9322126170
10139845672
1171a3713a
123aa01260
1322c85025
1414804248
15c425b4c
hex855e028

139845672 has 96 divisors (see below), whose sum is σ = 407819880. Its totient is φ = 43130880.

The previous prime is 139845661. The next prime is 139845679. The reversal of 139845672 is 276548931.

139845672 is a `hidden beast` number, since 1 + 3 + 9 + 84 + 567 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59814756 + 80030916 = 7734^2 + 8946^2 .

It is not an unprimeable number, because it can be changed into a prime (139845679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73728 + ... + 75600.

Almost surely, 2139845672 is an apocalyptic number.

139845672 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 139845672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203909940).

139845672 is an abundant number, since it is smaller than the sum of its proper divisors (267974208).

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

139845672 is a wasteful number, since it uses less digits than its factorization.

139845672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1956 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 139845672 is about 11825.6362196712. The cubic root of 139845672 is about 519.0585430748.

The spelling of 139845672 in words is "one hundred thirty-nine million, eight hundred forty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 61 68 72 102 122 136 153 183 204 244 306 366 408 488 549 612 732 1037 1098 1224 1464 1873 2074 2196 3111 3746 4148 4392 5619 6222 7492 8296 9333 11238 12444 14984 16857 18666 22476 24888 31841 33714 37332 44952 63682 67428 74664 95523 114253 127364 134856 191046 228506 254728 286569 342759 382092 457012 573138 685518 764184 914024 1028277 1146276 1371036 1942301 2056554 2292552 2742072 3884602 4113108 5826903 7769204 8226216 11653806 15538408 17480709 23307612 34961418 46615224 69922836 139845672