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128363136 = 2731130389
BaseRepresentation
bin1111010011010…
…10101010000000
322221112112010020
413221222222000
5230330110021
620423133440
73116032356
oct751525200
9287475106
10128363136
1166504140
1236ba4280
1320794725
14130957d6
15b4087c6
hex7a6aa80

128363136 has 64 divisors (see below), whose sum is σ = 371973600. Its totient is φ = 38896640.

The previous prime is 128363119. The next prime is 128363149. The reversal of 128363136 is 631363821.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 128363097 and 128363106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10971 + ... + 19418.

Almost surely, 2128363136 is an apocalyptic number.

128363136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

128363136 is an abundant number, since it is smaller than the sum of its proper divisors (243610464).

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

128363136 is a wasteful number, since it uses less digits than its factorization.

128363136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30417 (or 30405 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 128363136 is about 11329.7456282125. The cubic root of 128363136 is about 504.4445561111. Note that the first 3 decimals are identical.

The spelling of 128363136 in words is "one hundred twenty-eight million, three hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 30389 60778 91167 121556 182334 243112 334279 364668 486224 668558 729336 972448 1002837 1337116 1458672 1944896 2005674 2674232 2917344 3889792 4011348 5348464 5834688 8022696 10696928 11669376 16045392 21393856 32090784 42787712 64181568 128363136