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680152626 = 238173049
BaseRepresentation
bin101000100010100…
…100111000110010
31202101211100000000
4220202210320302
52343104341001
6151254010430
722566126156
oct5042447062
91671740000
10680152626
11319a2380a
1216b946a16
13aabb059a
146648d066
153eaa1a86
hex288a4e32

680152626 has 72 divisors (see below), whose sum is σ = 1620812700. Its totient is φ = 213311232.

The previous prime is 680152591. The next prime is 680152637. The reversal of 680152626 is 626251086.

It can be written as a sum of positive squares in 2 ways, for example, as 676052001 + 4100625 = 26001^2 + 2025^2 .

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, 221550 + ... + 224598.

Almost surely, 2680152626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680152626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810406350).

680152626 is an abundant number, since it is smaller than the sum of its proper divisors (940660074).

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

680152626 is an equidigital number, since it uses as much as digits as its factorization.

680152626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 680152626 is about 26079.7359265772. The cubic root of 680152626 is about 879.4317207380.

The spelling of 680152626 in words is "six hundred eighty million, one hundred fifty-two thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 729 918 1377 1458 2187 2754 3049 4131 4374 6098 6561 8262 9147 12393 13122 18294 24786 27441 37179 51833 54882 74358 82323 103666 111537 155499 164646 223074 246969 310998 466497 493938 740907 932994 1399491 1481814 2222721 2798982 4198473 4445442 6668163 8396946 12595419 13336326 20004489 25190838 37786257 40008978 75572514 113358771 226717542 340076313 680152626