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66534080 = 265533923
BaseRepresentation
bin1111110111001…
…1101011000000
311122012021121012
43331303223000
5114013042310
610334020052
71435346624
oct375635300
9148167535
1066534080
1134614048
121a347628
1310a270a2
148b9d184
155c93c05
hex3f73ac0

66534080 has 56 divisors (see below), whose sum is σ = 161464752. Its totient is φ = 26104832.

The previous prime is 66534079. The next prime is 66534089. The reversal of 66534080 is 8043566.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (66534089) 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, 14999 + ... + 18921.

Almost surely, 266534080 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 66534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80732376).

66534080 is an abundant number, since it is smaller than the sum of its proper divisors (94930672).

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

66534080 is a wasteful number, since it uses less digits than its factorization.

66534080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 66534080 is about 8156.8425263701. The cubic root of 66534080 is about 405.2111483442.

The spelling of 66534080 in words is "sixty-six million, five hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 265 320 424 530 848 1060 1696 2120 3392 3923 4240 7846 8480 15692 16960 19615 31384 39230 62768 78460 125536 156920 207919 251072 313840 415838 627680 831676 1039595 1255360 1663352 2079190 3326704 4158380 6653408 8316760 13306816 16633520 33267040 66534080