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140024192 = 2771114207
BaseRepresentation
bin10000101100010…
…01100110000000
3100202110222002012
420112021212000
5241321233232
621521112052
73320120540
oct1026114600
9322428065
10140024192
1172049280
123aa88628
1323018369
141484d320
15c45d9b2
hex8589980

140024192 has 64 divisors (see below), whose sum is σ = 347811840. Its totient is φ = 54551040.

The previous prime is 140024177. The next prime is 140024221. The reversal of 140024192 is 291420041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2753 + ... + 16959.

It is an arithmetic number, because the mean of its divisors is an integer number (5434560).

Almost surely, 2140024192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140024192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173905920).

140024192 is an abundant number, since it is smaller than the sum of its proper divisors (207787648).

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

140024192 is a wasteful number, since it uses less digits than its factorization.

140024192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14239 (or 14227 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 140024192 is about 11833.1818206263. The cubic root of 140024192 is about 519.2793172286.

The spelling of 140024192 in words is "one hundred forty million, twenty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856 14207 28414 56828 99449 113656 156277 198898 227312 312554 397796 454624 625108 795592 909248 1093939 1250216 1591184 1818496 2187878 2500432 3182368 4375756 5000864 6364736 8751512 10001728 12729472 17503024 20003456 35006048 70012096 140024192