Search a number
-
+
120375376 = 241123131227
BaseRepresentation
bin1110010110011…
…00100001010000
322101111200222021
413023030201100
5221304003001
615540021224
72661113422
oct713144120
9271450867
10120375376
1161a48890
1234391814
131bc28a44
1411db6812
15a87bba1
hex72cc850

120375376 has 80 divisors (see below), whose sum is σ = 268697088. Its totient is φ = 51708800.

The previous prime is 120375331. The next prime is 120375377. The reversal of 120375376 is 673573021.

It is a super-2 number, since 2×1203753762 = 28980462294282752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120375377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530175 + ... + 530401.

Almost surely, 2120375376 is an apocalyptic number.

120375376 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 120375376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134348544).

120375376 is an abundant number, since it is smaller than the sum of its proper divisors (148321712).

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

120375376 is a wasteful number, since it uses less digits than its factorization.

120375376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 34.

The square root of 120375376 is about 10971.5712639530. The cubic root of 120375376 is about 493.7561888665.

The spelling of 120375376 in words is "one hundred twenty million, three hundred seventy-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 131 176 184 227 253 262 368 454 506 524 908 1012 1048 1441 1816 2024 2096 2497 2882 3013 3632 4048 4994 5221 5764 6026 9988 10442 11528 12052 19976 20884 23056 24104 29737 33143 39952 41768 48208 57431 59474 66286 83536 114862 118948 132572 229724 237896 265144 327107 459448 475792 530288 654214 683951 918896 1308428 1367902 2616856 2735804 5233712 5471608 7523461 10943216 15046922 30093844 60187688 120375376