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140219856 = 2433789521
BaseRepresentation
bin10000101101110…
…01010111010000
3100202211220111000
420112321113100
5241344013411
621525222000
73321564150
oct1026712720
9322756430
10140219856
1172172287
123ab61900
132308643a
14148a0760
15c49b956
hex85b95d0

140219856 has 160 divisors (see below), whose sum is σ = 466041600. Its totient is φ = 39536640.

The previous prime is 140219837. The next prime is 140219869. The reversal of 140219856 is 658912041.

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

It is a self number, because there is not a number n which added to its sum of digits gives 140219856.

It is a congruent number.

It is an unprimeable number.

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, 268876 + ... + 269396.

It is an arithmetic number, because the mean of its divisors is an integer number (2912760).

Almost surely, 2140219856 is an apocalyptic number.

140219856 is a gapful number since it is divisible by the number (16) 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 140219856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233020800).

140219856 is an abundant number, since it is smaller than the sum of its proper divisors (325821744).

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

140219856 is a wasteful number, since it uses less digits than its factorization.

140219856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 140219856 is about 11841.4465332577. The cubic root of 140219856 is about 519.5210777837.

The spelling of 140219856 in words is "one hundred forty million, two hundred nineteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 89 108 112 126 144 168 178 189 216 252 267 336 356 378 432 504 521 534 623 712 756 801 1008 1042 1068 1246 1424 1512 1563 1602 1869 2084 2136 2403 2492 3024 3126 3204 3647 3738 4168 4272 4689 4806 4984 5607 6252 6408 7294 7476 8336 9378 9612 9968 10941 11214 12504 12816 14067 14588 14952 16821 18756 19224 21882 22428 25008 28134 29176 29904 32823 33642 37512 38448 43764 44856 46369 56268 58352 65646 67284 75024 87528 89712 92738 98469 112536 131292 134568 139107 175056 185476 196938 225072 262584 269136 278214 324583 370952 393876 417321 525168 556428 649166 741904 787752 834642 973749 1112856 1251963 1298332 1575504 1669284 1947498 2225712 2503926 2596664 2921247 3338568 3894996 5007852 5193328 5842494 6677136 7789992 8763741 10015704 11684988 15579984 17527482 20031408 23369976 35054964 46739952 70109928 140219856