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67898064 = 24313233467
BaseRepresentation
bin1000000110000…
…00101011010000
311201202120122010
410003000223100
5114340214224
610423142520
71453060353
oct403005320
9151676563
1067898064
1135365903
121a8a4a40
13110b3b90
14903629a
155e62e29
hex40c0ad0

67898064 has 80 divisors (see below), whose sum is σ = 190112832. Its totient is φ = 20757504.

The previous prime is 67898053. The next prime is 67898069. The reversal of 67898064 is 46089876.

It is a super-2 number, since 2×678980642 = 9220294189896192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67898069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145159 + ... + 145625.

Almost surely, 267898064 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 67898064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95056416).

67898064 is an abundant number, since it is smaller than the sum of its proper divisors (122214768).

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

67898064 is a wasteful number, since it uses less digits than its factorization.

67898064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 67898064 is about 8240.0281552917. The cubic root of 67898064 is about 407.9614534902.

The spelling of 67898064 in words is "sixty-seven million, eight hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 233 312 466 467 624 699 932 934 1398 1401 1864 1868 2796 2802 3029 3728 3736 5592 5604 6058 6071 7472 9087 11184 11208 12116 12142 18174 18213 22416 24232 24284 36348 36426 48464 48568 72696 72852 97136 108811 145392 145704 217622 291408 326433 435244 652866 870488 1305732 1414543 1740976 2611464 2829086 4243629 5222928 5658172 8487258 11316344 16974516 22632688 33949032 67898064