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13958802 = 232112131729
BaseRepresentation
bin110101001111…
…111010010010
3222021011212200
4311033322102
512033140202
61215104030
7226435134
oct65177222
928234780
1013958802
117974500
124812016
132b79760
141bd5054
15135ae1c
hexd4fe92

13958802 has 144 divisors (see below), whose sum is σ = 39213720. Its totient is φ = 3548160.

The previous prime is 13958801. The next prime is 13958803. The reversal of 13958802 is 20885931.

It is an interprime number because it is at equal distance from previous prime (13958801) and next prime (13958803).

It can be written as a sum of positive squares in 4 ways, for example, as 11553201 + 2405601 = 3399^2 + 1551^2 .

It is not an unprimeable number, because it can be changed into a prime (13958801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 481324 + ... + 481352.

Almost surely, 213958802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13958802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19606860).

13958802 is an abundant number, since it is smaller than the sum of its proper divisors (25254918).

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

13958802 is a wasteful number, since it uses less digits than its factorization.

13958802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 13958802 is about 3736.1480163398. The cubic root of 13958802 is about 240.7775821376. Note that the first 3 decimals are identical.

The spelling of 13958802 in words is "thirteen million, nine hundred fifty-eight thousand, eight hundred two".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 29 33 34 39 51 58 66 78 87 99 102 117 121 143 153 174 187 198 221 234 242 261 286 306 319 363 374 377 429 442 493 522 561 638 663 726 754 858 957 986 1089 1122 1131 1287 1326 1479 1573 1683 1914 1989 2057 2178 2262 2431 2574 2871 2958 3146 3366 3393 3509 3978 4114 4147 4437 4719 4862 5423 5742 6171 6409 6786 7018 7293 8294 8874 9438 10527 10846 12342 12441 12818 14157 14586 16269 18513 19227 21054 21879 24882 26741 28314 31581 32538 37026 37323 38454 43758 45617 48807 53482 57681 59653 63162 70499 74646 80223 91234 97614 115362 119306 136851 140998 160446 178959 211497 240669 273702 357918 410553 422994 481338 536877 634491 775489 821106 1073754 1268982 1550978 2326467 4652934 6979401 13958802