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128987136 = 212323499
BaseRepresentation
bin1111011000000…
…11000000000000
322222201020002100
413230003000000
5231010042021
620444350400
73124241535
oct754030000
9288636070
10128987136
116689aa43
1237245400
1320952765
14131b8d8c
15b4cd626
hex7b03000

128987136 has 78 divisors (see below), whose sum is σ = 372690500. Its totient is φ = 42983424.

The previous prime is 128987119. The next prime is 128987137. The reversal of 128987136 is 631789821.

It is a junction number, because it is equal to n+sod(n) for n = 128987091 and 128987100.

It is not an unprimeable number, because it can be changed into a prime (128987137) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35115 + ... + 38613.

Almost surely, 2128987136 is an apocalyptic number.

128987136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128987136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186345250).

128987136 is an abundant number, since it is smaller than the sum of its proper divisors (243703364).

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

128987136 is an equidigital number, since it uses as much as digits as its factorization.

128987136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3529 (or 3504 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 128987136 is about 11357.2503714588. The cubic root of 128987136 is about 505.2606385839.

The spelling of 128987136 in words is "one hundred twenty-eight million, nine hundred eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 3499 4096 4608 6144 6998 9216 10497 12288 13996 18432 20994 27992 31491 36864 41988 55984 62982 83976 111968 125964 167952 223936 251928 335904 447872 503856 671808 895744 1007712 1343616 1791488 2015424 2687232 3582976 4030848 5374464 7165952 8061696 10748928 14331904 16123392 21497856 32246784 42995712 64493568 128987136