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66590020 = 2257317571
BaseRepresentation
bin1111111000000…
…1010101000100
311122022010100001
43332001111010
5114021340040
610335131044
71436002000
oct376012504
9148263301
1066590020
1134652082
121a373a84
1310a466a3
148bb5700
155ca559a
hex3f81544

66590020 has 96 divisors (see below), whose sum is σ = 172972800. Its totient is φ = 21450240.

The previous prime is 66590009. The next prime is 66590033. The reversal of 66590020 is 2009566.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 116335 + ... + 116905.

It is an arithmetic number, because the mean of its divisors is an integer number (1801800).

Almost surely, 266590020 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 66590020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86486400).

66590020 is an abundant number, since it is smaller than the sum of its proper divisors (106382780).

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

66590020 is a wasteful number, since it uses less digits than its factorization.

66590020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 66590020 is about 8160.2708288390. The cubic root of 66590020 is about 405.3246799452.

Adding to 66590020 its reverse (2009566), we get a palindrome (68599586).

The spelling of 66590020 in words is "sixty-six million, five hundred ninety thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 343 476 490 571 595 686 833 980 1142 1190 1372 1666 1715 2284 2380 2855 3332 3430 3997 4165 5710 5831 6860 7994 8330 9707 11420 11662 15988 16660 19414 19985 23324 27979 29155 38828 39970 48535 55958 58310 67949 79940 97070 111916 116620 135898 139895 194140 195853 271796 279790 339745 391706 475643 559580 679490 783412 951286 979265 1358980 1902572 1958530 2378215 3329501 3917060 4756430 6659002 9512860 13318004 16647505 33295010 66590020