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51700680 = 23385197
BaseRepresentation
bin1100010100111…
…0001111001000
310121021200000000
43011032033020
5101213410210
65044043000
71165306563
oct305161710
9117250000
1051700680
1127202539
1215393460
13a932525
146c1b4da
154813ac0
hex314e3c8

51700680 has 144 divisors (see below), whose sum is σ = 175366620. Its totient is φ = 13716864.

The previous prime is 51700679. The next prime is 51700703. The reversal of 51700680 is 8600715.

It can be written as a sum of positive squares in 2 ways, for example, as 48525156 + 3175524 = 6966^2 + 1782^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 262342 + ... + 262538.

Almost surely, 251700680 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 51700680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87683310).

51700680 is an abundant number, since it is smaller than the sum of its proper divisors (123665940).

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

51700680 is an equidigital number, since it uses as much as digits as its factorization.

51700680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 51700680 is about 7190.3184908598. The cubic root of 51700680 is about 372.5335735395.

The spelling of 51700680 in words is "fifty-one million, seven hundred thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 197 216 243 270 324 360 394 405 486 540 591 648 729 788 810 972 985 1080 1182 1215 1458 1576 1620 1773 1944 1970 2187 2364 2430 2916 2955 3240 3546 3645 3940 4374 4728 4860 5319 5832 5910 6561 7092 7290 7880 8748 8865 9720 10638 10935 11820 13122 14184 14580 15957 17496 17730 21276 21870 23640 26244 26595 29160 31914 32805 35460 42552 43740 47871 52488 53190 63828 65610 70920 79785 87480 95742 106380 127656 131220 143613 159570 191484 212760 239355 262440 287226 319140 382968 430839 478710 574452 638280 718065 861678 957420 1148904 1292517 1436130 1723356 1914840 2154195 2585034 2872260 3446712 4308390 5170068 5744520 6462585 8616780 10340136 12925170 17233560 25850340 51700680