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120073376 = 2561137449
BaseRepresentation
bin1110010100000…
…10110010100000
322100221100201002
413022002302200
5221214322001
615525331132
72655415103
oct712026240
9270840632
10120073376
11618619a5
1234266aa8
131bb51447
1411d3873a
15a81c46b
hex7282ca0

120073376 has 48 divisors (see below), whose sum is σ = 242562600. Its totient is φ = 58490880.

The previous prime is 120073351. The next prime is 120073381. The reversal of 120073376 is 673370021.

It can be written as a sum of positive squares in 4 ways, for example, as 82373776 + 37699600 = 9076^2 + 6140^2 .

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, 267200 + ... + 267648.

Almost surely, 2120073376 is an apocalyptic number.

120073376 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 120073376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121281300).

120073376 is an abundant number, since it is smaller than the sum of its proper divisors (122489224).

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

120073376 is a wasteful number, since it uses less digits than its factorization.

120073376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 29.

The square root of 120073376 is about 10957.7997791527. The cubic root of 120073376 is about 493.3429281471.

The spelling of 120073376 in words is "one hundred twenty million, seventy-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 61 122 137 244 274 449 488 548 898 976 1096 1796 1952 2192 3592 4384 7184 8357 14368 16714 27389 33428 54778 61513 66856 109556 123026 133712 219112 246052 267424 438224 492104 876448 984208 1968416 3752293 7504586 15009172 30018344 60036688 120073376