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68907840 = 2635179401
BaseRepresentation
bin1000001101101…
…11001101000000
311210122212210020
410012313031000
5120120022330
610500533440
71464464331
oct406671500
9153585706
1068907840
1135995531
121b0b1280
1311378691
14921a288
1560b2210
hex41b7340

68907840 has 112 divisors (see below), whose sum is σ = 220553280. Its totient is φ = 18227200.

The previous prime is 68907833. The next prime is 68907859. The reversal of 68907840 is 4870986.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 68907792 and 68907801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171640 + ... + 172040.

Almost surely, 268907840 is an apocalyptic number.

68907840 is a gapful number since it is divisible by the number (60) 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 68907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110276640).

68907840 is an abundant number, since it is smaller than the sum of its proper divisors (151645440).

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

68907840 is a wasteful number, since it uses less digits than its factorization.

68907840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 68907840 is about 8301.0746292272. The cubic root of 68907840 is about 409.9739027609.

The spelling of 68907840 in words is "sixty-eight million, nine hundred seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 179 192 240 320 358 401 480 537 716 802 895 960 1074 1203 1432 1604 1790 2005 2148 2406 2685 2864 3208 3580 4010 4296 4812 5370 5728 6015 6416 7160 8020 8592 9624 10740 11456 12030 12832 14320 16040 17184 19248 21480 24060 25664 28640 32080 34368 38496 42960 48120 57280 64160 71779 76992 85920 96240 128320 143558 171840 192480 215337 287116 358895 384960 430674 574232 717790 861348 1076685 1148464 1435580 1722696 2153370 2296928 2871160 3445392 4306740 4593856 5742320 6890784 8613480 11484640 13781568 17226960 22969280 34453920 68907840