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66328560 = 24325175419
BaseRepresentation
bin1111110100000…
…1011111110000
311121210211200100
43331001133300
5113440003220
610325352400
71433532504
oct375013760
9147724610
1066328560
11344936a1
121a268700
131098468c
148b48304
155c52d90
hex3f417f0

66328560 has 120 divisors (see below), whose sum is σ = 235900080. Its totient is φ = 16644096.

The previous prime is 66328541. The next prime is 66328579. The reversal of 66328560 is 6582366.

66328560 is a `hidden beast` number, since 66 + 32 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (66328541) and next prime (66328579).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9531 + ... + 14949.

It is an arithmetic number, because the mean of its divisors is an integer number (1965834).

Almost surely, 266328560 is an apocalyptic number.

66328560 is a gapful number since it is divisible by the number (60) 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 66328560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117950040).

66328560 is an abundant number, since it is smaller than the sum of its proper divisors (169571520).

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

66328560 is a wasteful number, since it uses less digits than its factorization.

66328560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5455 (or 5446 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 66328560 is about 8144.2347706829. The cubic root of 66328560 is about 404.7934932583.

The spelling of 66328560 in words is "sixty-six million, three hundred twenty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 5419 6120 10838 12240 16257 21676 27095 32514 43352 48771 54190 65028 81285 86704 92123 97542 108380 130056 162570 184246 195084 216760 243855 260112 276369 325140 368492 390168 433520 460615 487710 552738 650280 736984 780336 829107 921230 975420 1105476 1300560 1381845 1473968 1658214 1842460 1950840 2210952 2763690 3316428 3684920 3901680 4145535 4421904 5527380 6632856 7369840 8291070 11054760 13265712 16582140 22109520 33164280 66328560