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20074626 = 23211213709
BaseRepresentation
bin100110010010…
…1000010000010
31101202220012200
41030211002002
520114342001
61554134030
7332426415
oct114450202
941686180
1020074626
1110371400
126881316
13420b3a0
142947b7c
151b68086
hex1325082

20074626 has 72 divisors (see below), whose sum is σ = 51558780. Its totient is φ = 5607360.

The previous prime is 20074619. The next prime is 20074643. The reversal of 20074626 is 62647002.

It can be written as a sum of positive squares in 2 ways, for example, as 17015625 + 3059001 = 4125^2 + 1749^2 .

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 self number, because there is not a number n which added to its sum of digits gives 20074626.

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, 27960 + ... + 28668.

Almost surely, 220074626 is an apocalyptic number.

20074626 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20074626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25779390).

20074626 is an abundant number, since it is smaller than the sum of its proper divisors (31484154).

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

20074626 is a wasteful number, since it uses less digits than its factorization.

20074626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 20074626 is about 4480.4716269607. The cubic root of 20074626 is about 271.7789528345.

The spelling of 20074626 in words is "twenty million, seventy-four thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 121 143 198 234 242 286 363 429 709 726 858 1089 1287 1418 1573 2127 2178 2574 3146 4254 4719 6381 7799 9217 9438 12762 14157 15598 18434 23397 27651 28314 46794 55302 70191 82953 85789 101387 140382 165906 171578 202774 257367 304161 514734 608322 772101 912483 1115257 1544202 1824966 2230514 3345771 6691542 10037313 20074626