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120990834 = 2342932549
BaseRepresentation
bin1110011011000…
…10110001110010
322102122222020000
413031202301302
5221433201314
620001130430
72666255646
oct715426162
9272588200
10120990834
1162329228
1234629a16
131c0b2c13
14120d6c26
15a94e209
hex7362c72

120990834 has 40 divisors (see below), whose sum is σ = 272141100. Its totient is φ = 40176864.

The previous prime is 120990781. The next prime is 120990839. The reversal of 120990834 is 438099021.

It can be written as a sum of positive squares in 2 ways, for example, as 90155025 + 30835809 = 9495^2 + 5553^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120990839) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46192 + ... + 48740.

Almost surely, 2120990834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120990834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136070550).

120990834 is an abundant number, since it is smaller than the sum of its proper divisors (151150266).

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

120990834 is a wasteful number, since it uses less digits than its factorization.

120990834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 120990834 is about 10999.5833557458. The cubic root of 120990834 is about 494.5962547981.

The spelling of 120990834 in words is "one hundred twenty million, nine hundred ninety thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 293 586 879 1758 2549 2637 5098 5274 7647 7911 15294 15822 22941 23733 45882 47466 68823 137646 206469 412938 746857 1493714 2240571 4481142 6721713 13443426 20165139 40330278 60495417 120990834