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68947840 = 275138287
BaseRepresentation
bin1000001110000…
…00111110000000
311210201220122201
410013000332000
5120122312330
610501442544
71465022053
oct407007600
9153656581
1068947840
1135a12595
121b110454
1311390950
14922aa9a
1560bdeca
hex41c0f80

68947840 has 64 divisors (see below), whose sum is σ = 177528960. Its totient is φ = 25454592.

The previous prime is 68947831. The next prime is 68947847. The reversal of 68947840 is 4874986.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68947847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4177 + ... + 12463.

It is an arithmetic number, because the mean of its divisors is an integer number (2773890).

Almost surely, 268947840 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 68947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88764480).

68947840 is an abundant number, since it is smaller than the sum of its proper divisors (108581120).

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

68947840 is a wasteful number, since it uses less digits than its factorization.

68947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8319 (or 8307 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 68947840 is about 8303.4836062944. The cubic root of 68947840 is about 410.0532153810.

The spelling of 68947840 in words is "sixty-eight million, nine hundred forty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8287 8320 16574 33148 41435 66296 82870 107731 132592 165740 215462 265184 331480 430924 530368 538655 662960 861848 1060736 1077310 1325920 1723696 2154620 2651840 3447392 4309240 5303680 6894784 8618480 13789568 17236960 34473920 68947840