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140928720 = 24351035701
BaseRepresentation
bin10000110011001…
…10011011010000
3100211011220212020
420121212123100
5242034204340
621552331440
73330605622
oct1031463320
9324156766
10140928720
1172606919
123b243b80
1323273c9a
1414a06c12
15c58b9d0
hex86666d0

140928720 has 80 divisors (see below), whose sum is σ = 441197952. Its totient is φ = 37209600.

The previous prime is 140928713. The next prime is 140928761. The reversal of 140928720 is 27829041.

It is a happy number.

140928720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

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, 21870 + ... + 27570.

Almost surely, 2140928720 is an apocalyptic number.

140928720 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 140928720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220598976).

140928720 is an abundant number, since it is smaller than the sum of its proper divisors (300269232).

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

140928720 is a wasteful number, since it uses less digits than its factorization.

140928720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5820 (or 5814 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 140928720 is about 11871.3402781657. The cubic root of 140928720 is about 520.3950646692.

The spelling of 140928720 in words is "one hundred forty million, nine hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1236 1545 1648 2060 2472 3090 4120 4944 5701 6180 8240 11402 12360 17103 22804 24720 28505 34206 45608 57010 68412 85515 91216 114020 136824 171030 228040 273648 342060 456080 587203 684120 1174406 1368240 1761609 2348812 2936015 3523218 4697624 5872030 7046436 8808045 9395248 11744060 14092872 17616090 23488120 28185744 35232180 46976240 70464360 140928720