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68195840 = 295171567
BaseRepresentation
bin1000001000010…
…01011000000000
311202022201002212
410010021120000
5114424231330
610433401252
71455440456
oct404113000
9152281085
1068195840
11355495a9
121aa09228
131118958b
1490b29d6
155ec1295
hex4109600

68195840 has 80 divisors (see below), whose sum is σ = 173238912. Its totient is φ = 25657344.

The previous prime is 68195821. The next prime is 68195861. The reversal of 68195840 is 4859186.

It is a tau number, because it is divible by the number of its divisors (80).

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, 42737 + ... + 44303.

Almost surely, 268195840 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 68195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86619456).

68195840 is an abundant number, since it is smaller than the sum of its proper divisors (105043072).

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

68195840 is a wasteful number, since it uses less digits than its factorization.

68195840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 68195840 is about 8258.0772580547. The cubic root of 68195840 is about 408.5569735169.

The spelling of 68195840 in words is "sixty-eight million, one hundred ninety-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1088 1280 1360 1567 2176 2560 2720 3134 4352 5440 6268 7835 8704 10880 12536 15670 21760 25072 26639 31340 43520 50144 53278 62680 100288 106556 125360 133195 200576 213112 250720 266390 401152 426224 501440 532780 802304 852448 1002880 1065560 1704896 2005760 2131120 3409792 4011520 4262240 6819584 8524480 13639168 17048960 34097920 68195840