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207065088 = 2123241137
BaseRepresentation
bin11000101011110…
…01000000000000
3112102121222220100
430111321000000
5411002040323
632314042400
75063011206
oct1425710000
9472558810
10207065088
11a697907a
1259419400
1333b8c029
141d701076
15132a2943
hexc579000

207065088 has 156 divisors (see below), whose sum is σ = 617175468. Its totient is φ = 66846720.

The previous prime is 207065077. The next prime is 207065093. The reversal of 207065088 is 880560702.

It can be written as a sum of positive squares in 2 ways, for example, as 56070144 + 150994944 = 7488^2 + 12288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1511356 + ... + 1511492.

It is an arithmetic number, because the mean of its divisors is an integer number (3956253).

Almost surely, 2207065088 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 207065088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308587734).

207065088 is an abundant number, since it is smaller than the sum of its proper divisors (410110380).

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

207065088 is a wasteful number, since it uses less digits than its factorization.

207065088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 207065088 is about 14389.7563565197. The cubic root of 207065088 is about 591.6101645795.

The spelling of 207065088 in words is "two hundred seven million, sixty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 137 144 164 192 246 256 274 288 328 369 384 411 492 512 548 576 656 738 768 822 984 1024 1096 1152 1233 1312 1476 1536 1644 1968 2048 2192 2304 2466 2624 2952 3072 3288 3936 4096 4384 4608 4932 5248 5617 5904 6144 6576 7872 8768 9216 9864 10496 11234 11808 12288 13152 15744 16851 17536 18432 19728 20992 22468 23616 26304 31488 33702 35072 36864 39456 41984 44936 47232 50553 52608 62976 67404 70144 78912 83968 89872 94464 101106 105216 125952 134808 140288 157824 167936 179744 188928 202212 210432 251904 269616 280576 315648 359488 377856 404424 420864 503808 539232 561152 631296 718976 755712 808848 841728 1078464 1262592 1437952 1511424 1617696 1683456 2156928 2525184 2875904 3235392 4313856 5050368 5751808 6470784 8627712 11503616 12941568 17255424 23007232 25883136 34510848 51766272 69021696 103532544 207065088