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68949504 = 2932131151
BaseRepresentation
bin1000001110000…
…01011000000000
311210201222221100
410013001120000
5120122341004
610501454400
71465026651
oct407013000
9153658840
1068949504
1135a13868
121b111400
1311391630
14922b528
1560be739
hex41c1600

68949504 has 120 divisors (see below), whose sum is σ = 214486272. Its totient is φ = 21196800.

The previous prime is 68949493. The next prime is 68949521. The reversal of 68949504 is 40594986.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 68949504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59329 + ... + 60479.

Almost surely, 268949504 is an apocalyptic number.

68949504 is a gapful number since it is divisible by the number (64) 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 68949504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107243136).

68949504 is an abundant number, since it is smaller than the sum of its proper divisors (145536768).

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

68949504 is a wasteful number, since it uses less digits than its factorization.

68949504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 68949504 is about 8303.5838045991. The cubic root of 68949504 is about 410.0565141213.

The spelling of 68949504 in words is "sixty-eight million, nine hundred forty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1151 1152 1248 1536 1664 1872 2302 2304 2496 3328 3453 3744 4604 4608 4992 6656 6906 7488 9208 9984 10359 13812 14963 14976 18416 19968 20718 27624 29926 29952 36832 41436 44889 55248 59852 59904 73664 82872 89778 110496 119704 134667 147328 165744 179556 220992 239408 269334 294656 331488 359112 441984 478816 538668 589312 662976 718224 883968 957632 1077336 1325952 1436448 1767936 1915264 2154672 2651904 2872896 3830528 4309344 5303808 5745792 7661056 8618688 11491584 17237376 22983168 34474752 68949504