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13376608 = 257219449
BaseRepresentation
bin110011000001…
…110001100000
3221011121020221
4303001301200
511411022413
61154412424
7221461600
oct63016140
927147227
1013376608
117607053
124591114
132a0476b
141ac2c00
15129368d
hexcc1c60

13376608 has 72 divisors (see below), whose sum is σ = 32319000. Its totient is φ = 5419008.

The previous prime is 13376599. The next prime is 13376633. The reversal of 13376608 is 80667331.

It is a zygodrome in base 2.

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, 29568 + ... + 30016.

It is an arithmetic number, because the mean of its divisors is an integer number (448875).

Almost surely, 213376608 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 13376608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16159500).

13376608 is an abundant number, since it is smaller than the sum of its proper divisors (18942392).

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

13376608 is a wasteful number, since it uses less digits than its factorization.

13376608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 13376608 is about 3657.4045442089. The cubic root of 13376608 is about 237.3824822113.

It can be divided in two parts, 133 and 76608, that multiplied together give a square (10188864 = 31922).

The spelling of 13376608 in words is "thirteen million, three hundred seventy-six thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 392 449 532 608 784 898 931 1064 1568 1796 1862 2128 3143 3592 3724 4256 6286 7184 7448 8531 12572 14368 14896 17062 22001 25144 29792 34124 44002 50288 59717 68248 88004 100576 119434 136496 176008 238868 272992 352016 418019 477736 704032 836038 955472 1672076 1910944 3344152 6688304 13376608