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66246336 = 263413983
BaseRepresentation
bin1111110010110…
…1011011000000
311121122122220000
43330231123000
5113424340321
610323520000
71433041002
oct374553300
9147578800
1066246336
1134437942
121a229000
1310956120
148b26372
155c38826
hex3f2d6c0

66246336 has 140 divisors (see below), whose sum is σ = 211695792. Its totient is φ = 20362752.

The previous prime is 66246329. The next prime is 66246347. The reversal of 66246336 is 63364266.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 66246336.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66901 + ... + 67883.

Almost surely, 266246336 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 66246336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105847896).

66246336 is an abundant number, since it is smaller than the sum of its proper divisors (145449456).

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

66246336 is a wasteful number, since it uses less digits than its factorization.

66246336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1001 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 66246336 is about 8139.1852172069. The cubic root of 66246336 is about 404.6261570810.

The spelling of 66246336 in words is "sixty-six million, two hundred forty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 983 1053 1248 1296 1404 1728 1872 1966 2106 2496 2592 2808 2949 3744 3932 4212 5184 5616 5898 7488 7864 8424 8847 11232 11796 12779 15728 16848 17694 22464 23592 25558 26541 31456 33696 35388 38337 47184 51116 53082 62912 67392 70776 76674 79623 94368 102232 106164 115011 141552 153348 159246 188736 204464 212328 230022 283104 306696 318492 345033 408928 424656 460044 566208 613392 636984 690066 817856 849312 920088 1035099 1226784 1273968 1380132 1698624 1840176 2070198 2453568 2547936 2760264 3680352 4140396 5095872 5520528 7360704 8280792 11041056 16561584 22082112 33123168 66246336