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67061376 = 2732232531
BaseRepresentation
bin1111111111010…
…0011010000000
311200012001220200
43333310122000
5114131431001
610353205200
71443004134
oct377643200
9150161820
1067061376
1134944228
121a560800
1310b800b5
148c993c4
155d4a086
hex3ff4680

67061376 has 96 divisors (see below), whose sum is σ = 201445920. Its totient is φ = 21373440.

The previous prime is 67061359. The next prime is 67061429. The reversal of 67061376 is 67316076.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 67061376.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25231 + ... + 27761.

It is an arithmetic number, because the mean of its divisors is an integer number (2098395).

Almost surely, 267061376 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 67061376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100722960).

67061376 is an abundant number, since it is smaller than the sum of its proper divisors (134384544).

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

67061376 is a wasteful number, since it uses less digits than its factorization.

67061376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 67061376 is about 8189.1010495658. The cubic root of 67061376 is about 406.2787928784.

The spelling of 67061376 in words is "sixty-seven million, sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2531 2944 3312 4416 5062 6624 7593 8832 10124 13248 15186 20248 22779 26496 30372 40496 45558 58213 60744 80992 91116 116426 121488 161984 174639 182232 232852 242976 323968 349278 364464 465704 485952 523917 698556 728928 931408 971904 1047834 1397112 1457856 1862816 2095668 2794224 2915712 3725632 4191336 5588448 7451264 8382672 11176896 16765344 22353792 33530688 67061376