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140005376 = 212719257
BaseRepresentation
bin10000101100001…
…01000000000000
3100202110000021022
420112011000000
5241320133001
621520445012
73320011640
oct1026050000
9322400238
10140005376
1172036125
123aa79768
132300c924
1414846520
15c45811b
hex8585000

140005376 has 104 divisors (see below), whose sum is σ = 338124480. Its totient is φ = 56623104.

The previous prime is 140005361. The next prime is 140005381. The reversal of 140005376 is 673500041.

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, 544640 + ... + 544896.

Almost surely, 2140005376 is an apocalyptic number.

140005376 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 140005376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169062240).

140005376 is an abundant number, since it is smaller than the sum of its proper divisors (198119104).

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

140005376 is an equidigital number, since it uses as much as digits as its factorization.

140005376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 140005376 is about 11832.3867414820. The cubic root of 140005376 is about 519.2560564925.

The spelling of 140005376 in words is "one hundred forty million, five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 257 266 304 448 512 514 532 608 896 1024 1028 1064 1216 1792 1799 2048 2056 2128 2432 3584 3598 4096 4112 4256 4864 4883 7168 7196 8224 8512 9728 9766 14336 14392 16448 17024 19456 19532 28672 28784 32896 34048 34181 38912 39064 57568 65792 68096 68362 77824 78128 115136 131584 136192 136724 156256 230272 263168 272384 273448 312512 460544 526336 544768 546896 625024 921088 1052672 1093792 1250048 1842176 2187584 2500096 3684352 4375168 5000192 7368704 8750336 10000384 17500672 20000768 35001344 70002688 140005376