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136063998 = 232723291619
BaseRepresentation
bin10000001110000…
…10101111111110
3100111000202201100
420013002233332
5234313021443
621300153530
73241345020
oct1007025776
9314022640
10136063998
116a893994
12396988a6
132225c955
14140dc010
15be2a3d3
hex81c2bfe

136063998 has 96 divisors (see below), whose sum is σ = 363916800. Its totient is φ = 35880768.

The previous prime is 136063987. The next prime is 136064011. The reversal of 136063998 is 899360631.

136063998 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 639 + 9 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83233 + ... + 84851.

It is an arithmetic number, because the mean of its divisors is an integer number (3790800).

Almost surely, 2136063998 is an apocalyptic number.

136063998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136063998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181958400).

136063998 is an abundant number, since it is smaller than the sum of its proper divisors (227852802).

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

136063998 is a wasteful number, since it uses less digits than its factorization.

136063998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 136063998 is about 11664.6473585788. The cubic root of 136063998 is about 514.3369706189.

The spelling of 136063998 in words is "one hundred thirty-six million, sixty-three thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 23 29 42 46 58 63 69 87 126 138 161 174 203 207 261 322 406 414 483 522 609 667 966 1218 1334 1449 1619 1827 2001 2898 3238 3654 4002 4669 4857 6003 9338 9714 11333 12006 14007 14571 22666 28014 29142 33999 37237 42021 46951 67998 74474 84042 93902 101997 111711 140853 203994 223422 260659 281706 328657 335133 422559 521318 657314 670266 781977 845118 985971 1079873 1563954 1971942 2159746 2345931 2957913 3239619 4691862 5915826 6479238 7559111 9718857 15118222 19437714 22677333 45354666 68031999 136063998