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13651968 = 212311101
BaseRepresentation
bin110100000101…
…000000000000
3221200120222110
4310011000000
511443330333
61204335320
7224016441
oct64050000
927616873
1013651968
117784a20
1246a4540
132a9cbb5
141b552c8
1512ea063
hexd05000

13651968 has 104 divisors (see below), whose sum is σ = 40103136. Its totient is φ = 4096000.

The previous prime is 13651943. The next prime is 13651973. The reversal of 13651968 is 86915631.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135118 + ... + 135218.

Almost surely, 213651968 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 13651968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20051568).

13651968 is an abundant number, since it is smaller than the sum of its proper divisors (26451168).

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

13651968 is a wasteful number, since it uses less digits than its factorization.

13651968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 13651968 is about 3694.8569661084. The cubic root of 13651968 is about 239.0002859424. Note that the first 3 decimals are identical.

It can be divided in two parts, 1365 and 1968, that added together give a palindrome (3333).

The spelling of 13651968 in words is "thirteen million, six hundred fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 101 128 132 176 192 202 256 264 303 352 384 404 512 528 606 704 768 808 1024 1056 1111 1212 1408 1536 1616 2048 2112 2222 2424 2816 3072 3232 3333 4096 4224 4444 4848 5632 6144 6464 6666 8448 8888 9696 11264 12288 12928 13332 16896 17776 19392 22528 25856 26664 33792 35552 38784 45056 51712 53328 67584 71104 77568 103424 106656 135168 142208 155136 206848 213312 284416 310272 413696 426624 568832 620544 853248 1137664 1241088 1706496 2275328 3412992 4550656 6825984 13651968