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67371680 = 2551723147
BaseRepresentation
bin1000000010000…
…00001010100000
311200202211120102
410001000022200
5114221343210
610404001532
71445435615
oct401001240
9150684512
1067371680
1135036382
121a6902a8
1310c5b3cc
148d3a50c
155dabea5
hex40402a0

67371680 has 144 divisors (see below), whose sum is σ = 178246656. Its totient is φ = 24023040.

The previous prime is 67371677. The next prime is 67371721. The reversal of 67371680 is 8617376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1433417 + ... + 1433463.

It is an arithmetic number, because the mean of its divisors is an integer number (1237824).

Almost surely, 267371680 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 67371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89123328).

67371680 is an abundant number, since it is smaller than the sum of its proper divisors (110874976).

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

67371680 is a wasteful number, since it uses less digits than its factorization.

67371680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 67371680 is about 8208.0253410915. The cubic root of 67371680 is about 406.9044683994.

The spelling of 67371680 in words is "sixty-seven million, three hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 31 32 34 40 47 62 68 80 85 94 124 136 155 160 170 188 235 248 272 289 310 340 376 470 496 527 544 578 620 680 752 799 940 992 1054 1156 1240 1360 1445 1457 1504 1598 1880 2108 2312 2480 2635 2720 2890 2914 3196 3760 3995 4216 4624 4960 5270 5780 5828 6392 7285 7520 7990 8432 8959 9248 10540 11560 11656 12784 13583 14570 15980 16864 17918 21080 23120 23312 24769 25568 27166 29140 31960 35836 42160 44795 46240 46624 49538 54332 58280 63920 67915 71672 84320 89590 99076 108664 116560 123845 127840 135830 143344 179180 198152 217328 233120 247690 271660 286688 358360 396304 421073 434656 495380 543320 716720 792608 842146 990760 1086640 1433440 1684292 1981520 2105365 2173280 3368584 3963040 4210730 6737168 8421460 13474336 16842920 33685840 67371680