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140052150 = 232527173257
BaseRepresentation
bin10000101100100…
…00011010110110
3100202112101102200
420112100122312
5241323132100
621521445330
73320265210
oct1026203266
9322471380
10140052150
1172068287
123aaa0846
1323027cc4
14148595b0
15c466e00
hex85906b6

140052150 has 144 divisors (see below), whose sum is σ = 434195424. Its totient is φ = 31703040.

The previous prime is 140052149. The next prime is 140052169. The reversal of 140052150 is 51250041.

140052150 is a `hidden beast` number, since 140 + 0 + 521 + 5 + 0 = 666.

It is a super-2 number, since 2×1400521502 = 39229209439245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 544822 + ... + 545078.

It is an arithmetic number, because the mean of its divisors is an integer number (3015246).

Almost surely, 2140052150 is an apocalyptic number.

140052150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140052150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217097712).

140052150 is an abundant number, since it is smaller than the sum of its proper divisors (294143274).

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

140052150 is a wasteful number, since it uses less digits than its factorization.

140052150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 140052150 is about 11834.3631007334. The cubic root of 140052150 is about 519.3138756497.

The spelling of 140052150 in words is "one hundred forty million, fifty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 173 175 210 225 257 315 346 350 450 514 519 525 630 771 865 1038 1050 1211 1285 1542 1557 1575 1730 1799 2313 2422 2570 2595 3114 3150 3598 3633 3855 4325 4626 5190 5397 6055 6425 7266 7710 7785 8650 8995 10794 10899 11565 12110 12850 12975 15570 16191 17990 18165 19275 21798 23130 25950 26985 30275 32382 36330 38550 38925 44461 44975 53970 54495 57825 60550 77850 80955 88922 89950 90825 108990 115650 133383 134925 161910 181650 222305 266766 269850 272475 311227 400149 404775 444610 544950 622454 666915 800298 809550 933681 1111525 1333830 1556135 1867362 2000745 2223050 2801043 3112270 3334575 4001490 4668405 5602086 6669150 7780675 9336810 10003725 14005215 15561350 20007450 23342025 28010430 46684050 70026075 140052150