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120413376 = 2632349599
BaseRepresentation
bin1110010110101…
…01110011000000
322101120122002200
413023111303000
5221311212001
615540513200
72661332256
oct713256300
9271518080
10120413376
1161a74396
12343ab800
131bc40125
1411dc65d6
15a888086
hex72d5cc0

120413376 has 84 divisors (see below), whose sum is σ = 346710000. Its totient is φ = 39955968.

The previous prime is 120413369. The next prime is 120413383. The reversal of 120413376 is 673314021.

It is an interprime number because it is at equal distance from previous prime (120413369) and next prime (120413383).

It is a super-2 number, since 2×1204133762 = 28998762239434752, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 200725 + ... + 201323.

It is an arithmetic number, because the mean of its divisors is an integer number (4127500).

Almost surely, 2120413376 is an apocalyptic number.

120413376 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 120413376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173355000).

120413376 is an abundant number, since it is smaller than the sum of its proper divisors (226296624).

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

120413376 is a wasteful number, since it uses less digits than its factorization.

120413376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 120413376 is about 10973.3028756159. The cubic root of 120413376 is about 493.8081395833.

Adding to 120413376 its reverse (673314021), we get a palindrome (793727397).

The spelling of 120413376 in words is "one hundred twenty million, four hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 349 576 599 698 1047 1198 1396 1797 2094 2396 2792 3141 3594 4188 4792 5391 5584 6282 7188 8376 9584 10782 11168 12564 14376 16752 19168 21564 22336 25128 28752 33504 38336 43128 50256 57504 67008 86256 100512 115008 172512 201024 209051 345024 418102 627153 836204 1254306 1672408 1881459 2508612 3344816 3762918 5017224 6689632 7525836 10034448 13379264 15051672 20068896 30103344 40137792 60206688 120413376