Search a number
-
+
760540104 = 23341497877
BaseRepresentation
bin101101010101001…
…110101111001000
31222000002102220000
4231111032233020
53024144240404
6203245003000
724563325042
oct5525165710
91860072800
10760540104
1136033a045
12192853460
13c174813c
1473016a92
1546b80339
hex2d54ebc8

760540104 has 80 divisors (see below), whose sum is σ = 2144785500. Its totient is φ = 251779968.

The previous prime is 760540063. The next prime is 760540111. The reversal of 760540104 is 401045067.

760540104 is a `hidden beast` number, since 7 + 605 + 40 + 10 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 639584100 + 120956004 = 25290^2 + 10998^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 92614 + ... + 100490.

Almost surely, 2760540104 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 760540104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072392750).

760540104 is an abundant number, since it is smaller than the sum of its proper divisors (1384245396).

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

760540104 is a wasteful number, since it uses less digits than its factorization.

760540104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8044 (or 8031 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 760540104 is about 27577.8915800320. The cubic root of 760540104 is about 912.7966550072.

The spelling of 760540104 in words is "seven hundred sixty million, five hundred forty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 149 162 216 298 324 447 596 648 894 1192 1341 1788 2682 3576 4023 5364 7877 8046 10728 12069 15754 16092 23631 24138 31508 32184 47262 48276 63016 70893 94524 96552 141786 189048 212679 283572 425358 567144 638037 850716 1173673 1276074 1701432 2347346 2552148 3521019 4694692 5104296 7042038 9389384 10563057 14084076 21126114 28168152 31689171 42252228 63378342 84504456 95067513 126756684 190135026 253513368 380270052 760540104