Search a number
-
+
140874096 = 24311377211
BaseRepresentation
bin10000110010110…
…01000101110000
3100211002010221010
420121121011300
5242030432341
621551230520
73330260436
oct1031310560
9324063833
10140874096
1172579880
123b218440
132325516c
14149d0d56
15c57a716
hex8659170

140874096 has 80 divisors (see below), whose sum is σ = 407795328. Its totient is φ = 41529600.

The previous prime is 140874089. The next prime is 140874119. The reversal of 140874096 is 690478041.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15931 + ... + 23141.

Almost surely, 2140874096 is an apocalyptic number.

140874096 is a gapful number since it is divisible by the number (16) 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 140874096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203897664).

140874096 is an abundant number, since it is smaller than the sum of its proper divisors (266921232).

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

140874096 is a wasteful number, since it uses less digits than its factorization.

140874096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7270 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 140874096 is about 11869.0393882572. The cubic root of 140874096 is about 520.3278209036.

The spelling of 140874096 in words is "one hundred forty million, eight hundred seventy-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 3256 4884 6512 7211 9768 14422 19536 21633 28844 43266 57688 79321 86532 115376 158642 173064 237963 266807 317284 346128 475926 533614 634568 800421 951852 1067228 1269136 1600842 1903704 2134456 2934877 3201684 3807408 4268912 5869754 6403368 8804631 11739508 12806736 17609262 23479016 35218524 46958032 70437048 140874096