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136021632 = 2732315401
BaseRepresentation
bin10000001101110…
…00011010000000
3100110221121121020
420012320122000
5234310143012
621255225440
73241110345
oct1006703200
9313847536
10136021632
116a86507a
1239678280
1322246596
14140ca7cc
15be1ca8c
hex81b8680

136021632 has 64 divisors (see below), whose sum is σ = 377040960. Its totient is φ = 43366400.

The previous prime is 136021631. The next prime is 136021651. The reversal of 136021632 is 236120631.

It is a happy number.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (136021631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1132 + ... + 16532.

It is an arithmetic number, because the mean of its divisors is an integer number (5891265).

Almost surely, 2136021632 is an apocalyptic number.

136021632 is a gapful number since it is divisible by the number (12) 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 136021632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188520480).

136021632 is an abundant number, since it is smaller than the sum of its proper divisors (241019328).

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

136021632 is a wasteful number, since it uses less digits than its factorization.

136021632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15441 (or 15429 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 136021632 is about 11662.8312171616. The cubic root of 136021632 is about 514.2835823545.

The spelling of 136021632 in words is "one hundred thirty-six million, twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 15401 30802 46203 61604 92406 123208 184812 246416 354223 369624 492832 708446 739248 985664 1062669 1416892 1478496 1971328 2125338 2833784 2956992 4250676 5667568 5913984 8501352 11335136 17002704 22670272 34005408 45340544 68010816 136021632