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13402368 = 28337277
BaseRepresentation
bin110011001000…
…000100000000
3221012220121000
4303020010000
511412333433
61155132000
7221626650
oct63100400
927186530
1013402368
117624441
1245a4000
132a133c5
141acc360
15129b113
hexcc8100

13402368 has 144 divisors (see below), whose sum is σ = 45458560. Its totient is φ = 3815424.

The previous prime is 13402339. The next prime is 13402373. The reversal of 13402368 is 86320431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48246 + ... + 48522.

Almost surely, 213402368 is an apocalyptic number.

13402368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13402368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22729280).

13402368 is an abundant number, since it is smaller than the sum of its proper divisors (32056192).

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

13402368 is an equidigital number, since it uses as much as digits as its factorization.

13402368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13402368 is about 3660.9244734083. The cubic root of 13402368 is about 237.5347642555.

Adding to 13402368 its reverse (86320431), we get a palindrome (99722799).

The spelling of 13402368 in words is "thirteen million, four hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 277 288 336 378 384 432 448 504 554 576 672 756 768 831 864 896 1008 1108 1152 1344 1512 1662 1728 1792 1939 2016 2216 2304 2493 2688 3024 3324 3456 3878 4032 4432 4986 5376 5817 6048 6648 6912 7479 7756 8064 8864 9972 11634 12096 13296 14958 15512 16128 17451 17728 19944 23268 24192 26592 29916 31024 34902 35456 39888 46536 48384 52353 53184 59832 62048 69804 70912 79776 93072 104706 106368 119664 124096 139608 159552 186144 209412 212736 239328 248192 279216 319104 372288 418824 478656 496384 558432 638208 744576 837648 957312 1116864 1489152 1675296 1914624 2233728 3350592 4467456 6701184 13402368