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120920632 = 2372373827
BaseRepresentation
bin1110011010100…
…01101000111000
322102112101220221
413031101220320
5221423430012
615555425424
72665544200
oct715215070
9272471827
10120920632
1162290508
12345b5274
131c089c91
14120b9400
15a938507
hex7351a38

120920632 has 48 divisors (see below), whose sum is σ = 264769560. Its totient is φ = 51621696.

The previous prime is 120920629. The next prime is 120920663. The reversal of 120920632 is 236029021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120920597 and 120920606.

It is a congruent number.

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, 145803 + ... + 146629.

Almost surely, 2120920632 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 120920632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132384780).

120920632 is an abundant number, since it is smaller than the sum of its proper divisors (143848928).

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

120920632 is a wasteful number, since it uses less digits than its factorization.

120920632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 120920632 is about 10996.3917718495. The cubic root of 120920632 is about 494.5005771263.

Adding to 120920632 its reverse (236029021), we get a palindrome (356949653).

The spelling of 120920632 in words is "one hundred twenty million, nine hundred twenty thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 373 392 746 827 1492 1654 2611 2984 3308 5222 5789 6616 10444 11578 18277 20888 23156 36554 40523 46312 73108 81046 146216 162092 308471 324184 616942 1233884 2159297 2467768 4318594 8637188 15115079 17274376 30230158 60460316 120920632