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13768704 = 2113483
BaseRepresentation
bin110100100001…
…100000000000
3221220112010000
4310201200000
512011044304
61211040000
7225013665
oct64414000
927815100
1013768704
1178546a4
124740000
132b11081
141b85a6c
15131e939
hexd21800

13768704 has 120 divisors (see below), whose sum is σ = 41621580. Its totient is φ = 4534272.

The previous prime is 13768693. The next prime is 13768717. The reversal of 13768704 is 40786731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165847 + ... + 165929.

Almost surely, 213768704 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 13768704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20810790).

13768704 is an abundant number, since it is smaller than the sum of its proper divisors (27852876).

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

13768704 is an frugal number, since it uses more digits than its factorization.

13768704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 13768704 is about 3710.6204332968. The cubic root of 13768704 is about 239.6795723826.

The spelling of 13768704 in words is "thirteen million, seven hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 83 96 108 128 144 162 166 192 216 249 256 288 324 332 384 432 498 512 576 648 664 747 768 864 996 1024 1152 1296 1328 1494 1536 1728 1992 2048 2241 2304 2592 2656 2988 3072 3456 3984 4482 4608 5184 5312 5976 6144 6723 6912 7968 8964 9216 10368 10624 11952 13446 13824 15936 17928 18432 20736 21248 23904 26892 27648 31872 35856 41472 42496 47808 53784 55296 63744 71712 82944 84992 95616 107568 127488 143424 165888 169984 191232 215136 254976 286848 382464 430272 509952 573696 764928 860544 1147392 1529856 1721088 2294784 3442176 4589568 6884352 13768704