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140759300 = 225211211633
BaseRepresentation
bin10000110001111…
…01000100000100
3100210212022110102
420120331010010
5242013244200
621544543232
73326301653
oct1030750404
9323768412
10140759300
1172500600
123b181b18
1323214b36
14149a119a
15c5566d5
hex863d104

140759300 has 54 divisors (see below), whose sum is σ = 335768874. Its totient is φ = 51180800.

The previous prime is 140759231. The next prime is 140759317. The reversal of 140759300 is 3957041.

140759300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 15856324 + 124902976 = 3982^2 + 11176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6284 + ... + 17916.

Almost surely, 2140759300 is an apocalyptic number.

140759300 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 140759300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167884437).

140759300 is an abundant number, since it is smaller than the sum of its proper divisors (195009574).

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

140759300 is a wasteful number, since it uses less digits than its factorization.

140759300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11669 (or 11651 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 140759300 is about 11864.2024594998. The cubic root of 140759300 is about 520.1864469478.

The spelling of 140759300 in words is "one hundred forty million, seven hundred fifty-nine thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 11633 12100 23266 46532 58165 116330 127963 232660 255926 290825 511852 581650 639815 1163300 1279630 1407593 2559260 2815186 3199075 5630372 6398150 7037965 12796300 14075930 28151860 35189825 70379650 140759300