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66810276 = 223213142757
BaseRepresentation
bin1111111011011…
…1000110100100
311122201022110200
43332313012210
5114100412101
610343550500
71440610101
oct376670644
9148638420
1066810276
1134792605
121a45b430
1310ac2a10
148c31aa8
155cea986
hex3fb71a4

66810276 has 36 divisors (see below), whose sum is σ = 181873692. Its totient is φ = 20556864.

The previous prime is 66810241. The next prime is 66810283. The reversal of 66810276 is 67201866.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12787776 + 54022500 = 3576^2 + 7350^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×668102762 = 8927225958392352, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66810276.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70911 + ... + 71846.

It is an arithmetic number, because the mean of its divisors is an integer number (5052047).

Almost surely, 266810276 is an apocalyptic number.

It is an amenable number.

66810276 is an abundant number, since it is smaller than the sum of its proper divisors (115063416).

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

66810276 is a wasteful number, since it uses less digits than its factorization.

66810276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142780 (or 142775 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 66810276 is about 8173.7553180897. The cubic root of 66810276 is about 405.7710778841.

The spelling of 66810276 in words is "sixty-six million, eight hundred ten thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 142757 285514 428271 571028 856542 1284813 1713084 1855841 2569626 3711682 5139252 5567523 7423364 11135046 16702569 22270092 33405138 66810276