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67768704 = 273319609
BaseRepresentation
bin1000000101000…
…01000110000000
311201112000012000
410002201012000
5114322044304
610420304000
71452011253
oct402410600
9151460160
1067768704
11352876a3
121a842000
131106a033
14900109a
155e39939
hex40a1180

67768704 has 64 divisors (see below), whose sum is σ = 200022000. Its totient is φ = 22588416.

The previous prime is 67768703. The next prime is 67768709. The reversal of 67768704 is 40786776.

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

It is a self number, because there is not a number n which added to its sum of digits gives 67768704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67768703) 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, 6349 + ... + 13260.

Almost surely, 267768704 is an apocalyptic number.

67768704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

67768704 is an abundant number, since it is smaller than the sum of its proper divisors (132253296).

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

67768704 is a wasteful number, since it uses less digits than its factorization.

67768704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19632 (or 19614 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 67768704 is about 8232.1749252552. The cubic root of 67768704 is about 407.7022048405.

The spelling of 67768704 in words is "sixty-seven million, seven hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 19609 39218 58827 78436 117654 156872 176481 235308 313744 352962 470616 529443 627488 705924 941232 1058886 1254976 1411848 1882464 2117772 2509952 2823696 3764928 4235544 5647392 7529856 8471088 11294784 16942176 22589568 33884352 67768704