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140380224 = 2632383383
BaseRepresentation
bin10000101111000…
…00100001000000
3100210011001110120
420113200201000
5241414131344
621532500240
73323132535
oct1027404100
9323131416
10140380224
1172271816
123b01a680
132311142a
1414902d8c
15c4ce219
hex85e0840

140380224 has 112 divisors (see below), whose sum is σ = 393265152. Its totient is φ = 44104192.

The previous prime is 140380217. The next prime is 140380231. The reversal of 140380224 is 422083041.

It is an interprime number because it is at equal distance from previous prime (140380217) and next prime (140380231).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 140380194 and 140380203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366337 + ... + 366719.

It is an arithmetic number, because the mean of its divisors is an integer number (3511296).

Almost surely, 2140380224 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 140380224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196632576).

140380224 is an abundant number, since it is smaller than the sum of its proper divisors (252884928).

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

140380224 is a wasteful number, since it uses less digits than its factorization.

140380224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 140380224 is about 11848.2160682526. The cubic root of 140380224 is about 519.7190592887.

The spelling of 140380224 in words is "one hundred forty million, three hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 83 92 96 138 166 184 192 249 276 332 368 383 498 552 664 736 766 996 1104 1149 1328 1472 1532 1909 1992 2208 2298 2656 3064 3818 3984 4416 4596 5312 5727 6128 7636 7968 8809 9192 11454 12256 15272 15936 17618 18384 22908 24512 26427 30544 31789 35236 36768 45816 52854 61088 63578 70472 73536 91632 95367 105708 122176 127156 140944 183264 190734 211416 254312 281888 366528 381468 422832 508624 563776 731147 762936 845664 1017248 1462294 1525872 1691328 2034496 2193441 2924588 3051744 4386882 5849176 6103488 8773764 11698352 17547528 23396704 35095056 46793408 70190112 140380224