Search a number
-
+
117960810 = 23511379661
BaseRepresentation
bin1110000011111…
…11000001101010
322012222000210220
413001333001222
5220144221220
615412150510
72631436032
oct701770152
9265860726
10117960810
1160649780
1233608436
131b5919c6
14119488c2
15a551540
hex707f06a

117960810 has 64 divisors (see below), whose sum is σ = 317222784. Its totient is φ = 27820800.

The previous prime is 117960809. The next prime is 117960823. The reversal of 117960810 is 18069711.

It is a super-2 number, since 2×1179608102 = 27829505391712200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 7380 + ... + 17040.

It is an arithmetic number, because the mean of its divisors is an integer number (4956606).

Almost surely, 2117960810 is an apocalyptic number.

117960810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117960810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158611392).

117960810 is an abundant number, since it is smaller than the sum of its proper divisors (199261974).

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

117960810 is a wasteful number, since it uses less digits than its factorization.

117960810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9719.

The product of its (nonzero) digits is 3024, while the sum is 33.

The square root of 117960810 is about 10860.9764754372. The cubic root of 117960810 is about 490.4325072015.

The spelling of 117960810 in words is "one hundred seventeen million, nine hundred sixty thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 6105 9661 12210 19322 28983 48305 57966 96610 106271 144915 212542 289830 318813 357457 531355 637626 714914 1062710 1072371 1594065 1787285 2144742 3188130 3574570 3932027 5361855 7864054 10723710 11796081 19660135 23592162 39320270 58980405 117960810