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67664064 = 2631327109
BaseRepresentation
bin1000000100001…
…11100011000000
311201022200122110
410002013203000
5114310222224
610414135320
71451064216
oct402074300
9151280573
1067664064
1135216016
121a7b1540
1311031510
148db4cb6
155e18929
hex40878c0

67664064 has 56 divisors (see below), whose sum is σ = 192806320. Its totient is φ = 20818944.

The previous prime is 67664033. The next prime is 67664087. The reversal of 67664064 is 46046676.

Added to its reverse (46046676) it gives a triangular number (113710740 = T15080).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 11059 + ... + 16050.

It is an arithmetic number, because the mean of its divisors is an integer number (3442970).

Almost surely, 267664064 is an apocalyptic number.

67664064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

67664064 is an abundant number, since it is smaller than the sum of its proper divisors (125142256).

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

67664064 is a wasteful number, since it uses less digits than its factorization.

67664064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27137 (or 27127 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 67664064 is about 8225.8169199174. The cubic root of 67664064 is about 407.4922557400.

Adding to 67664064 its reverse (46046676), we get a triangular number (113710740 = T15080).

The spelling of 67664064 in words is "sixty-seven million, six hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 27109 54218 81327 108436 162654 216872 325308 352417 433744 650616 704834 867488 1057251 1301232 1409668 1734976 2114502 2602464 2819336 4229004 5204928 5638672 8458008 11277344 16916016 22554688 33832032 67664064