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140370252 = 223111997577
BaseRepresentation
bin10000101110111…
…10000101001100
3100210010112210020
420113132011030
5241413322002
621532342140
73323061501
oct1027360514
9323115706
10140370252
1172265280
123b014950
1323109a29
14148dd4a8
15c4cb2bc
hex85de14c

140370252 has 96 divisors (see below), whose sum is σ = 380647680. Its totient is φ = 39813120.

The previous prime is 140370227. The next prime is 140370253. The reversal of 140370252 is 252073041.

It is not an unprimeable number, because it can be changed into a prime (140370253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242988 + ... + 243564.

It is an arithmetic number, because the mean of its divisors is an integer number (3965080).

Almost surely, 2140370252 is an apocalyptic number.

140370252 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 140370252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190323840).

140370252 is an abundant number, since it is smaller than the sum of its proper divisors (240277428).

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

140370252 is a wasteful number, since it uses less digits than its factorization.

140370252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 140370252 is about 11847.7952379335. The cubic root of 140370252 is about 519.7067528041.

The spelling of 140370252 in words is "one hundred forty million, three hundred seventy thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 97 114 132 194 209 228 291 388 418 577 582 627 836 1067 1154 1164 1254 1731 1843 2134 2308 2508 3201 3462 3686 4268 5529 6347 6402 6924 7372 10963 11058 12694 12804 19041 20273 21926 22116 25388 32889 38082 40546 43852 55969 60819 65778 76164 81092 111938 120593 121638 131556 167907 223876 241186 243276 335814 361779 482372 615659 671628 723558 1063411 1231318 1447116 1846977 2126822 2462636 3190233 3693954 4253644 6380466 7387908 11697521 12760932 23395042 35092563 46790084 70185126 140370252