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120432104 = 23132281317
BaseRepresentation
bin1110010110110…
…10010111101000
322101121120210022
413023122113220
5221312311404
615541140012
72661441002
oct713322750
9271546708
10120432104
1161a87471
12343ba608
131bc48800
1411dcd372
15a88d8be
hex72da5e8

120432104 has 48 divisors (see below), whose sum is σ = 246160620. Its totient is φ = 55211520.

The previous prime is 120432073. The next prime is 120432119. The reversal of 120432104 is 401234021.

It can be written as a sum of positive squares in 6 ways, for example, as 5299204 + 115132900 = 2302^2 + 10730^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379754 + ... + 380070.

Almost surely, 2120432104 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 120432104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123080310).

120432104 is an abundant number, since it is smaller than the sum of its proper divisors (125728516).

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

120432104 is a wasteful number, since it uses less digits than its factorization.

120432104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 120432104 is about 10974.1561862405. The cubic root of 120432104 is about 493.8337390632.

Adding to 120432104 its reverse (401234021), we get a palindrome (521666125).

The spelling of 120432104 in words is "one hundred twenty million, four hundred thirty-two thousand, one hundred four".

Divisors: 1 2 4 8 13 26 52 104 169 281 317 338 562 634 676 1124 1268 1352 2248 2536 3653 4121 7306 8242 14612 16484 29224 32968 47489 53573 89077 94978 107146 178154 189956 214292 356308 379912 428584 712616 1158001 2316002 4632004 9264008 15054013 30108026 60216052 120432104