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13404864 = 263112577
BaseRepresentation
bin110011001000…
…101011000000
3221020001000110
4303020223000
511412423424
61155151320
7221640144
oct63105300
927201013
1013404864
117626300
1245a5540
132a14595
141acd224
15129bc29
hexcc8ac0

13404864 has 84 divisors (see below), whose sum is σ = 39051992. Its totient is φ = 4055040.

The previous prime is 13404829. The next prime is 13404877. The reversal of 13404864 is 46840431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22944 + ... + 23520.

Almost surely, 213404864 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 13404864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19525996).

13404864 is an abundant number, since it is smaller than the sum of its proper divisors (25647128).

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

13404864 is a wasteful number, since it uses less digits than its factorization.

13404864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 13404864 is about 3661.2653550378. The cubic root of 13404864 is about 237.5495091615.

The spelling of 13404864 in words is "thirteen million, four hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 577 704 726 968 1056 1154 1452 1731 1936 2112 2308 2904 3462 3872 4616 5808 6347 6924 7744 9232 11616 12694 13848 18464 19041 23232 25388 27696 36928 38082 50776 55392 69817 76164 101552 110784 139634 152328 203104 209451 279268 304656 406208 418902 558536 609312 837804 1117072 1218624 1675608 2234144 3351216 4468288 6702432 13404864