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66149160 = 23357117159
BaseRepresentation
bin1111110001010…
…1101100101000
311121110201120220
43330111230220
5113413233120
610321450040
71432154460
oct374255450
9147421526
1066149160
1134380930
121a1a0920
1310920b1c
148adcba0
155c19b40
hex3f15b28

66149160 has 128 divisors (see below), whose sum is σ = 247449600. Its totient is φ = 13743360.

The previous prime is 66149147. The next prime is 66149177. The reversal of 66149160 is 6194166.

It is a super-2 number, since 2×661491602 = 8751422737411200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5661 + ... + 12819.

It is an arithmetic number, because the mean of its divisors is an integer number (1933200).

Almost surely, 266149160 is an apocalyptic number.

66149160 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 66149160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123724800).

66149160 is an abundant number, since it is smaller than the sum of its proper divisors (181300440).

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

66149160 is a wasteful number, since it uses less digits than its factorization.

66149160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7191 (or 7187 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 66149160 is about 8133.2133870937. The cubic root of 66149160 is about 404.4282130864.

The spelling of 66149160 in words is "sixty-six million, one hundred forty-nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 7159 9240 14318 21477 28636 35795 42954 50113 57272 71590 78749 85908 100226 107385 143180 150339 157498 171816 200452 214770 236247 250565 286360 300678 314996 393745 400904 429540 472494 501130 551243 601356 629992 751695 787490 859080 944988 1002260 1102486 1181235 1202712 1503390 1574980 1653729 1889976 2004520 2204972 2362470 2756215 3006780 3149960 3307458 4409944 4724940 5512430 6013560 6614916 8268645 9449880 11024860 13229832 16537290 22049720 33074580 66149160