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140895072 = 2533313521
BaseRepresentation
bin10000110010111…
…10001101100000
3100211010012201000
420121132031200
5242032120242
621551512000
73330405543
oct1031361540
9324105630
10140895072
117259360a
123b228600
1323261886
14149d885a
15c581a4c
hex865e360

140895072 has 96 divisors (see below), whose sum is σ = 413048160. Its totient is φ = 46725120.

The previous prime is 140895059. The next prime is 140895077. The reversal of 140895072 is 270598041.

140895072 is a `hidden beast` number, since 140 + 8 + 9 + 507 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140895077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270172 + ... + 270692.

It is an arithmetic number, because the mean of its divisors is an integer number (4302585).

Almost surely, 2140895072 is an apocalyptic number.

140895072 is a gapful number since it is divisible by the number (12) 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 140895072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206524080).

140895072 is an abundant number, since it is smaller than the sum of its proper divisors (272153088).

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

140895072 is a wasteful number, since it uses less digits than its factorization.

140895072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 140895072 is about 11869.9229989078. The cubic root of 140895072 is about 520.3536450378.

The spelling of 140895072 in words is "one hundred forty million, eight hundred ninety-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 313 432 521 626 864 939 1042 1252 1563 1878 2084 2504 2817 3126 3756 4168 4689 5008 5634 6252 7512 8336 8451 9378 10016 11268 12504 14067 15024 16672 16902 18756 22536 25008 28134 30048 33804 37512 45072 50016 56268 67608 75024 90144 112536 135216 150048 163073 225072 270432 326146 450144 489219 652292 978438 1304584 1467657 1956876 2609168 2935314 3913752 4402971 5218336 5870628 7827504 8805942 11741256 15655008 17611884 23482512 35223768 46965024 70447536 140895072