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120699952 = 2423734493
BaseRepresentation
bin1110011000110…
…11110000110000
322102010012012121
413030123300300
5221344344302
615551004024
72663634622
oct714336060
9272105177
10120699952
116214a72a
1234509614
131c0106b9
141205cc12
15a8e2e37
hex731bc30

120699952 has 40 divisors (see below), whose sum is σ = 247421664. Its totient is φ = 56922624.

The previous prime is 120699947. The next prime is 120699961. The reversal of 120699952 is 259996021.

It is a happy number.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 120699899 and 120699908.

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 7 ways as a sum of consecutive naturals, for example, 24618 + ... + 29110.

Almost surely, 2120699952 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 120699952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123710832).

120699952 is an abundant number, since it is smaller than the sum of its proper divisors (126721712).

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

120699952 is a wasteful number, since it uses less digits than its factorization.

120699952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597 (or 4591 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 43.

The square root of 120699952 is about 10986.3529890496. The cubic root of 120699952 is about 494.1995729659.

The spelling of 120699952 in words is "one hundred twenty million, six hundred ninety-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 23 46 73 92 146 184 292 368 584 1168 1679 3358 4493 6716 8986 13432 17972 26864 35944 71888 103339 206678 327989 413356 655978 826712 1311956 1653424 2623912 5247824 7543747 15087494 30174988 60349976 120699952