Search a number
-
+
115466640 = 24353713003
BaseRepresentation
bin1101110000111…
…10000110010000
322001021022110020
412320132012100
5214024413030
615242503440
72601310302
oct670360620
9261238406
10115466640
115a1a5883
1232804b80
131abca673
1411499972
15a20c510
hex6e1e190

115466640 has 80 divisors (see below), whose sum is σ = 367649088. Its totient is φ = 29956608.

The previous prime is 115466633. The next prime is 115466651. The reversal of 115466640 is 46664511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2379 + ... + 15381.

Almost surely, 2115466640 is an apocalyptic number.

115466640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115466640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183824544).

115466640 is an abundant number, since it is smaller than the sum of its proper divisors (252182448).

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

115466640 is a wasteful number, since it uses less digits than its factorization.

115466640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13056 (or 13050 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 115466640 is about 10745.5404703533. The cubic root of 115466640 is about 486.9512774040.

The spelling of 115466640 in words is "one hundred fifteen million, four hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 13003 26006 39009 52012 65015 78018 104024 130030 156036 195045 208048 260060 312072 390090 481111 520120 624144 780180 962222 1040240 1443333 1560360 1924444 2405555 2886666 3120720 3848888 4811110 5773332 7216665 7697776 9622220 11546664 14433330 19244440 23093328 28866660 38488880 57733320 115466640