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375981540 = 223511797211
BaseRepresentation
bin10110011010010…
…000010111100100
3222012110211201020
4112122100113210
51232222402130
6101150331140
712213535044
oct2632202744
9865424636
10375981540
11183260550
12a5ab9ab0
135cb820ac
1437d11724
152301be10
hex166905e4

375981540 has 96 divisors (see below), whose sum is σ = 1163151360. Its totient is φ = 89980800.

The previous prime is 375981509. The next prime is 375981553. The reversal of 375981540 is 45189573.

It is a junction number, because it is equal to n+sod(n) for n = 375981492 and 375981501.

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, 48535 + ... + 55745.

It is an arithmetic number, because the mean of its divisors is an integer number (12116160).

Almost surely, 2375981540 is an apocalyptic number.

375981540 is a gapful number since it is divisible by the number (30) 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 375981540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581575680).

375981540 is an abundant number, since it is smaller than the sum of its proper divisors (787169820).

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

375981540 is a wasteful number, since it uses less digits than its factorization.

375981540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7313 (or 7311 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 375981540 is about 19390.2434229176. The cubic root of 375981540 is about 721.7534039675.

The spelling of 375981540 in words is "three hundred seventy-five million, nine hundred eighty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 79 110 132 158 165 220 237 316 330 395 474 660 790 869 948 1185 1580 1738 2370 2607 3476 4345 4740 5214 7211 8690 10428 13035 14422 17380 21633 26070 28844 36055 43266 52140 72110 79321 86532 108165 144220 158642 216330 237963 317284 396605 432660 475926 569669 793210 951852 1139338 1189815 1586420 1709007 2278676 2379630 2848345 3418014 4759260 5696690 6266359 6836028 8545035 11393380 12532718 17090070 18799077 25065436 31331795 34180140 37598154 62663590 75196308 93995385 125327180 187990770 375981540