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207117696 = 27331127137
BaseRepresentation
bin11000101100001…
…01110110000000
3112102201200001210
430112011312000
5411010231241
632315130120
75063320452
oct1426056600
9472650053
10207117696
11a6a04655
1259443940
1333ba9c66
141d7162d2
15132b3316
hexc585d80

207117696 has 128 divisors (see below), whose sum is σ = 576552960. Its totient is φ = 65802240.

The previous prime is 207117683. The next prime is 207117709. The reversal of 207117696 is 696711702.

It is an interprime number because it is at equal distance from previous prime (207117683) and next prime (207117709).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1511740 + ... + 1511876.

It is an arithmetic number, because the mean of its divisors is an integer number (4504320).

Almost surely, 2207117696 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 207117696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288276480).

207117696 is an abundant number, since it is smaller than the sum of its proper divisors (369435264).

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

207117696 is a wasteful number, since it uses less digits than its factorization.

207117696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 207117696 is about 14391.5842074457. The cubic root of 207117696 is about 591.6602628239.

The spelling of 207117696 in words is "two hundred seven million, one hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 127 128 137 186 192 248 254 274 372 381 384 411 496 508 548 744 762 822 992 1016 1096 1488 1524 1644 1984 2032 2192 2976 3048 3288 3937 3968 4064 4247 4384 5952 6096 6576 7874 8128 8494 8768 11811 11904 12192 12741 13152 15748 16256 16988 17399 17536 23622 24384 25482 26304 31496 33976 34798 47244 48768 50964 52197 52608 62992 67952 69596 94488 101928 104394 125984 135904 139192 188976 203856 208788 251968 271808 278384 377952 407712 417576 503936 539369 543616 556768 755904 815424 835152 1078738 1113536 1511808 1618107 1630848 1670304 2157476 2227072 3236214 3340608 4314952 6472428 6681216 8629904 12944856 17259808 25889712 34519616 51779424 69039232 103558848 207117696