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68922880 = 2951319109
BaseRepresentation
bin1000001101110…
…10111000000000
311210200122102021
410012322320000
5120121013010
610501131224
71464556225
oct406727000
9153618367
1068922880
11359a5864
121b0b9b14
1311382490
14922194c
1560b68da
hex41bae00

68922880 has 160 divisors (see below), whose sum is σ = 189050400. Its totient is φ = 23887872.

The previous prime is 68922857. The next prime is 68922883. The reversal of 68922880 is 8822986.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68922883) 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, 632266 + ... + 632374.

It is an arithmetic number, because the mean of its divisors is an integer number (1181565).

Almost surely, 268922880 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 68922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94525200).

68922880 is an abundant number, since it is smaller than the sum of its proper divisors (120127520).

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

68922880 is a wasteful number, since it uses less digits than its factorization.

68922880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 68922880 is about 8301.9804866068. The cubic root of 68922880 is about 410.0037279058.

The spelling of 68922880 in words is "sixty-eight million, nine hundred twenty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 109 128 130 152 160 190 208 218 247 256 260 304 320 380 416 436 494 512 520 545 608 640 760 832 872 988 1040 1090 1216 1235 1280 1417 1520 1664 1744 1976 2071 2080 2180 2432 2470 2560 2834 3040 3328 3488 3952 4142 4160 4360 4864 4940 5668 6080 6656 6976 7085 7904 8284 8320 8720 9728 9880 10355 11336 12160 13952 14170 15808 16568 16640 17440 19760 20710 22672 24320 26923 27904 28340 31616 33136 33280 34880 39520 41420 45344 48640 53846 55808 56680 63232 66272 69760 79040 82840 90688 107692 113360 126464 132544 134615 139520 158080 165680 181376 215384 226720 265088 269230 279040 316160 331360 362752 430768 453440 530176 538460 632320 662720 725504 861536 906880 1060352 1076920 1325440 1723072 1813760 2153840 2650880 3446144 3627520 4307680 5301760 6892288 8615360 13784576 17230720 34461440 68922880