Search a number
-
+
507376660 = 225733110949
BaseRepresentation
bin11110001111011…
…111010000010100
31022100201101221011
4132033133100110
52014342023120
6122202502004
715400426150
oct3617372024
91270641834
10507376660
1124044565a
12121b04904
138116889b
144b556060
152e823c5a
hex1e3df414

507376660 has 48 divisors (see below), whose sum is σ = 1221494400. Its totient is φ = 173416320.

The previous prime is 507376657. The next prime is 507376669. The reversal of 507376660 is 66673705.

It is a super-2 number, since 2×5073766602 = 514862150225511200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507376669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40866 + ... + 51814.

It is an arithmetic number, because the mean of its divisors is an integer number (25447800).

Almost surely, 2507376660 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 507376660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610747200).

507376660 is an abundant number, since it is smaller than the sum of its proper divisors (714117740).

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

507376660 is a wasteful number, since it uses less digits than its factorization.

507376660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11296 (or 11294 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 40.

The square root of 507376660 is about 22525.0229744611. The cubic root of 507376660 is about 797.5847258183.

The spelling of 507376660 in words is "five hundred seven million, three hundred seventy-six thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 331 662 1324 1655 2317 3310 4634 6620 9268 10949 11585 21898 23170 43796 46340 54745 76643 109490 153286 218980 306572 383215 766430 1532860 3624119 7248238 14496476 18120595 25368833 36241190 50737666 72482380 101475332 126844165 253688330 507376660