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68801920 = 2751129337
BaseRepresentation
bin1000001100111…
…01010110000000
311210110111111021
410012131112000
5120103130140
610454355224
71463543455
oct406352600
9153414437
1068801920
11359229a0
121b05bb14
131133c3c5
1491cd82c
156090b4a
hex419d580

68801920 has 128 divisors (see below), whose sum is σ = 186170400. Its totient is φ = 24084480.

The previous prime is 68801903. The next prime is 68801921. The reversal of 68801920 is 2910886.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68801921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203992 + ... + 204328.

Almost surely, 268801920 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 68801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93085200).

68801920 is an abundant number, since it is smaller than the sum of its proper divisors (117368480).

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

68801920 is a wasteful number, since it uses less digits than its factorization.

68801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 68801920 is about 8294.6922788009. The cubic root of 68801920 is about 409.7637345884.

The spelling of 68801920 in words is "sixty-eight million, eight hundred one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 128 145 160 176 220 232 290 319 320 337 352 440 464 580 638 640 674 704 880 928 1160 1276 1348 1408 1595 1685 1760 1856 2320 2552 2696 3190 3370 3520 3707 3712 4640 5104 5392 6380 6740 7040 7414 9280 9773 10208 10784 12760 13480 14828 18535 18560 19546 20416 21568 25520 26960 29656 37070 39092 40832 43136 48865 51040 53920 59312 74140 78184 97730 102080 107503 107840 118624 148280 156368 195460 204160 215006 215680 237248 296560 312736 390920 430012 474496 537515 593120 625472 781840 860024 1075030 1186240 1250944 1563680 1720048 2150060 2372480 3127360 3440096 4300120 6254720 6880192 8600240 13760384 17200480 34400960 68801920