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135903936 = 2637101119
BaseRepresentation
bin10000001100110…
…11101011000000
3100110201122011010
420012123223000
5234242411221
621252520520
73240110250
oct1006335300
9313648133
10135903936
116a794703
1239620140
1322204b3c
1414099960
15bde7c76
hex819bac0

135903936 has 56 divisors (see below), whose sum is σ = 410951680. Its totient is φ = 38829312.

The previous prime is 135903919. The next prime is 135903961. The reversal of 135903936 is 639309531.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 135903894 and 135903903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49216 + ... + 51903.

Almost surely, 2135903936 is an apocalyptic number.

135903936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135903936 is an abundant number, since it is smaller than the sum of its proper divisors (275047744).

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

135903936 is a wasteful number, since it uses less digits than its factorization.

135903936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101141 (or 101131 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 39.

The square root of 135903936 is about 11657.7843520971. The cubic root of 135903936 is about 514.1352074573.

The spelling of 135903936 in words is "one hundred thirty-five million, nine hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 101119 202238 303357 404476 606714 707833 808952 1213428 1415666 1617904 2123499 2426856 2831332 3235808 4246998 4853712 5662664 6471616 8493996 9707424 11325328 16987992 19414848 22650656 33975984 45301312 67951968 135903936