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207083128 = 237194147101
BaseRepresentation
bin11000101011111…
…01011001111000
3112102122220122111
430111331121320
5411003130003
632314302104
75063114620
oct1425753170
9472586574
10207083128
11a699068a
1259427934
1333b972c5
141d707880
15132a7e6d
hexc57d678

207083128 has 128 divisors (see below), whose sum is σ = 493516800. Its totient is φ = 79488000.

The previous prime is 207083119. The next prime is 207083159. The reversal of 207083128 is 821380702.

It is a self number, because there is not a number n which added to its sum of digits gives 207083128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2050278 + ... + 2050378.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 2207083128 is an apocalyptic number.

207083128 is a gapful number since it is divisible by the number (28) 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 207083128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246758400).

207083128 is an abundant number, since it is smaller than the sum of its proper divisors (286433672).

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

207083128 is a wasteful number, since it uses less digits than its factorization.

207083128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 207083128 is about 14390.3831776642. The cubic root of 207083128 is about 591.6273449060.

The spelling of 207083128 in words is "two hundred seven million, eighty-three thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 41 47 56 76 82 94 101 133 152 164 188 202 266 287 328 329 376 404 532 574 658 707 779 808 893 1064 1148 1316 1414 1558 1786 1919 1927 2296 2632 2828 3116 3572 3838 3854 4141 4747 5453 5656 6232 6251 7144 7676 7708 8282 9494 10906 12502 13433 13489 15352 15416 16564 18988 21812 25004 26866 26978 28987 33128 33229 36613 37976 43624 50008 53732 53956 57974 66458 73226 78679 90193 107464 107912 115948 132916 146452 157358 180386 194627 231896 256291 265832 292904 314716 360772 389254 512582 550753 629432 631351 721544 778508 1025164 1101506 1262702 1362389 1557016 2050328 2203012 2525404 2724778 3697913 4406024 5050808 5449556 7395826 10899112 14791652 25885391 29583304 51770782 103541564 207083128