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66775320 = 23335173637
BaseRepresentation
bin1111111010111…
…0100100011000
311122122112112000
43332232210120
5114043302240
610343121000
71440403143
oct376564430
9148575460
1066775320
1134769317
121a443160
1310aacb31
148c2305a
155ce0430
hex3fae918

66775320 has 128 divisors (see below), whose sum is σ = 235742400. Its totient is φ = 16754688.

The previous prime is 66775309. The next prime is 66775321. The reversal of 66775320 is 2357766.

It is a happy number.

It is a super-2 number, since 2×667753202 = 8917886722204800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66775321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16542 + ... + 20178.

Almost surely, 266775320 is an apocalyptic number.

66775320 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 66775320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117871200).

66775320 is an abundant number, since it is smaller than the sum of its proper divisors (168967080).

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

66775320 is a wasteful number, since it uses less digits than its factorization.

66775320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 66775320 is about 8171.6167311004. The cubic root of 66775320 is about 405.7002973139.

The spelling of 66775320 in words is "sixty-six million, seven hundred seventy-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3637 3672 4590 6120 7274 9180 10911 14548 18185 18360 21822 29096 32733 36370 43644 54555 61829 65466 72740 87288 98199 109110 123658 130932 145480 163665 185487 196398 218220 247316 261864 309145 327330 370974 392796 436440 490995 494632 556461 618290 654660 741948 785592 927435 981990 1112922 1236580 1309320 1483896 1669383 1854870 1963980 2225844 2473160 2782305 3338766 3709740 3927960 4451688 5564610 6677532 7419480 8346915 11129220 13355064 16693830 22258440 33387660 66775320