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66407880 = 23357117187
BaseRepresentation
bin1111110101010…
…0110111001000
311121221212111010
43331110313020
5114000023010
610331203520
71434312660
oct375246710
9147855433
1066407880
1134538250
121a2a65a0
13109b1806
148b691a0
155c6b620
hex3f54dc8

66407880 has 128 divisors (see below), whose sum is σ = 248417280. Its totient is φ = 13797120.

The previous prime is 66407857. The next prime is 66407903. The reversal of 66407880 is 8870466.

It is an interprime number because it is at equal distance from previous prime (66407857) and next prime (66407903).

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, 5647 + ... + 12833.

It is an arithmetic number, because the mean of its divisors is an integer number (1940760).

Almost surely, 266407880 is an apocalyptic number.

66407880 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 66407880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124208640).

66407880 is an abundant number, since it is smaller than the sum of its proper divisors (182009400).

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

66407880 is a wasteful number, since it uses less digits than its factorization.

66407880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7219 (or 7215 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 66407880 is about 8149.1030181241. The cubic root of 66407880 is about 404.9547884297.

The spelling of 66407880 in words is "sixty-six million, four hundred seven thousand, eight hundred eighty".

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 7187 9240 14374 21561 28748 35935 43122 50309 57496 71870 79057 86244 100618 107805 143740 150927 158114 172488 201236 215610 237171 251545 287480 301854 316228 395285 402472 431220 474342 503090 553399 603708 632456 754635 790570 862440 948684 1006180 1106798 1185855 1207416 1509270 1581140 1660197 1897368 2012360 2213596 2371710 2766995 3018540 3162280 3320394 4427192 4743420 5533990 6037080 6640788 8300985 9486840 11067980 13281576 16601970 22135960 33203940 66407880