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332056540 = 225194121313
BaseRepresentation
bin10011110010101…
…100011111011100
3212010211012221101
4103302230133130
51140001302130
652541042444
711141301604
oct2362543734
9763735841
10332056540
11160489aa2
1293256424
1353a42b7a
1432159c04
151e2421ca
hex13cac7dc

332056540 has 48 divisors (see below), whose sum is σ = 751957920. Its totient is φ = 122757120.

The previous prime is 332056519. The next prime is 332056541. The reversal of 332056540 is 45650233.

It is a super-2 number, since 2×3320565402 = 220523091513543200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332056499 and 332056508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332056541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4924 + ... + 26236.

It is an arithmetic number, because the mean of its divisors is an integer number (15665790).

Almost surely, 2332056540 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 332056540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375978960).

332056540 is an abundant number, since it is smaller than the sum of its proper divisors (419901380).

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

332056540 is a wasteful number, since it uses less digits than its factorization.

332056540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21382 (or 21380 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 332056540 is about 18222.4186100528. The cubic root of 332056540 is about 692.4748625681.

The spelling of 332056540 in words is "three hundred thirty-two million, fifty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 380 410 779 820 1558 3116 3895 7790 15580 21313 42626 85252 106565 213130 404947 426260 809894 873833 1619788 1747666 2024735 3495332 4049470 4369165 8098940 8738330 16602827 17476660 33205654 66411308 83014135 166028270 332056540