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964000136 = 231129499757
BaseRepresentation
bin111001011101010…
…111100110001000
32111011221021120202
4321131113212020
53433241001021
6235353511332
732613603011
oct7135274610
92434837522
10964000136
11455175630
1222aa12548
131249442a8
149205a008
155996ea0b
hex39757988

964000136 has 64 divisors (see below), whose sum is σ = 2046600000. Its totient is φ = 421666560.

The previous prime is 964000133. The next prime is 964000139. The reversal of 964000136 is 631000469.

It is an interprime number because it is at equal distance from previous prime (964000133) and next prime (964000139).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 964000099 and 964000108.

It is not an unprimeable number, because it can be changed into a prime (964000133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1273070 + ... + 1273826.

It is an arithmetic number, because the mean of its divisors is an integer number (31978125).

Almost surely, 2964000136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964000136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023300000).

964000136 is an abundant number, since it is smaller than the sum of its proper divisors (1082599864).

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

964000136 is a wasteful number, since it uses less digits than its factorization.

964000136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 964000136 is about 31048.3515826525. The cubic root of 964000136 is about 987.8530954577.

The spelling of 964000136 in words is "nine hundred sixty-four million, one hundred thirty-six", and thus it is an aban number.

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 499 638 757 998 1276 1514 1996 2552 3028 3992 5489 6056 8327 10978 14471 16654 21953 21956 28942 33308 43906 43912 57884 66616 87812 115768 159181 175624 241483 318362 377743 482966 636724 755486 965932 1273448 1510972 1931864 3021944 4155173 8310346 10954547 16620692 21909094 33241384 43818188 87636376 120500017 241000034 482000068 964000136