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11964864 = 263101617
BaseRepresentation
bin101101101001…
…000111000000
3211111212201010
4231221013000
511030333424
61104240520
7203461662
oct55510700
924455633
1011964864
11683241a
124010140
13262c002
141836532
1510b5229
hexb691c0

11964864 has 56 divisors (see below), whose sum is σ = 32022288. Its totient is φ = 3942400.

The previous prime is 11964863. The next prime is 11964877. The reversal of 11964864 is 46846911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11964863) 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, 19084 + ... + 19700.

Almost surely, 211964864 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 11964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16011144).

11964864 is an abundant number, since it is smaller than the sum of its proper divisors (20057424).

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

11964864 is a wasteful number, since it uses less digits than its factorization.

11964864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 723 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 11964864 is about 3459.0264526309. The cubic root of 11964864 is about 228.7191818496.

The spelling of 11964864 in words is "eleven million, nine hundred sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 404 606 617 808 1212 1234 1616 1851 2424 2468 3232 3702 4848 4936 6464 7404 9696 9872 14808 19392 19744 29616 39488 59232 62317 118464 124634 186951 249268 373902 498536 747804 997072 1495608 1994144 2991216 3988288 5982432 11964864