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67870464 = 283671319
BaseRepresentation
bin1000000101110…
…01111100000000
311201201011202220
410002321330000
5114333323324
610422411040
71452614034
oct402717400
9151634686
1067870464
11353470a2
121a890a80
13110a444c
14902a1c4
155e59b79
hex40b9f00

67870464 has 72 divisors (see below), whose sum is σ = 183469440. Its totient is φ = 22268928.

The previous prime is 67870433. The next prime is 67870519. The reversal of 67870464 is 46407876.

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, 50797 + ... + 52115.

Almost surely, 267870464 is an apocalyptic number.

67870464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67870464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91734720).

67870464 is an abundant number, since it is smaller than the sum of its proper divisors (115598976).

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

67870464 is a wasteful number, since it uses less digits than its factorization.

67870464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 67870464 is about 8238.3532335049. The cubic root of 67870464 is about 407.9061683492.

The spelling of 67870464 in words is "sixty-seven million, eight hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 536 768 804 1072 1319 1608 2144 2638 3216 3957 4288 5276 6432 7914 8576 10552 12864 15828 17152 21104 25728 31656 42208 51456 63312 84416 88373 126624 168832 176746 253248 265119 337664 353492 506496 530238 706984 1012992 1060476 1413968 2120952 2827936 4241904 5655872 8483808 11311744 16967616 22623488 33935232 67870464