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66246700 = 225213131389
BaseRepresentation
bin1111110010110…
…1100000101100
311121122200101111
43330231200230
5113424343300
610323521404
71433042032
oct374554054
9147580344
1066246700
1134438143
121a229264
1310956340
148b26552
155c389ba
hex3f2d82c

66246700 has 72 divisors (see below), whose sum is σ = 156396240. Its totient is φ = 24211200.

The previous prime is 66246689. The next prime is 66246707. The reversal of 66246700 is 764266.

It is not an unprimeable number, because it can be changed into a prime (66246707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170106 + ... + 170494.

It is an arithmetic number, because the mean of its divisors is an integer number (2172170).

Almost surely, 266246700 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 66246700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78198120).

66246700 is an abundant number, since it is smaller than the sum of its proper divisors (90149540).

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

66246700 is a wasteful number, since it uses less digits than its factorization.

66246700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 66246700 is about 8139.2075781368. The cubic root of 66246700 is about 404.6268981718.

The spelling of 66246700 in words is "sixty-six million, two hundred forty-six thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 131 260 262 325 389 524 650 655 778 1300 1310 1556 1703 1945 2620 3275 3406 3890 5057 6550 6812 7780 8515 9725 10114 13100 17030 19450 20228 25285 34060 38900 42575 50570 50959 85150 101140 101918 126425 170300 203836 252850 254795 505700 509590 662467 1019180 1273975 1324934 2547950 2649868 3312335 5095900 6624670 13249340 16561675 33123350 66246700