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68117376 = 273179991
BaseRepresentation
bin1000000111101…
…10001110000000
311202011201110210
410003312032000
5114414224001
610431554120
71454662635
oct403661600
9152151423
1068117376
11354a5658
121a98b940
131115c952
14909218c
155ea7dd6
hex40f6380

68117376 has 64 divisors (see below), whose sum is σ = 182131200. Its totient is φ = 22556160.

The previous prime is 68117369. The next prime is 68117381. The reversal of 68117376 is 67371186.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68241 + ... + 69231.

It is an arithmetic number, because the mean of its divisors is an integer number (2845800).

Almost surely, 268117376 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 68117376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91065600).

68117376 is an abundant number, since it is smaller than the sum of its proper divisors (114013824).

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

68117376 is a wasteful number, since it uses less digits than its factorization.

68117376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1175 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 68117376 is about 8253.3251480843. The cubic root of 68117376 is about 408.4002224265.

The spelling of 68117376 in words is "sixty-eight million, one hundred seventeen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 358 384 537 716 991 1074 1432 1982 2148 2864 2973 3964 4296 5728 5946 7928 8592 11456 11892 15856 17184 22912 23784 31712 34368 47568 63424 68736 95136 126848 177389 190272 354778 380544 532167 709556 1064334 1419112 2128668 2838224 4257336 5676448 8514672 11352896 17029344 22705792 34058688 68117376