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120132630 = 232519163431
BaseRepresentation
bin1110010100100…
…01010000010110
322101001100222200
413022101100112
5221223221010
615530505330
72656052622
oct712212026
9271040880
10120132630
11618a2472
1234295246
131bb723c7
1411d52182
15a82ecc0
hex7291416

120132630 has 96 divisors (see below), whose sum is σ = 331568640. Its totient is φ = 30093120.

The previous prime is 120132589. The next prime is 120132631. The reversal of 120132630 is 36231021.

120132630 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 32 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120132631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278515 + ... + 278945.

It is an arithmetic number, because the mean of its divisors is an integer number (3453840).

Almost surely, 2120132630 is an apocalyptic number.

120132630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120132630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165784320).

120132630 is an abundant number, since it is smaller than the sum of its proper divisors (211436010).

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

120132630 is a wasteful number, since it uses less digits than its factorization.

120132630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 120132630 is about 10960.5031818799. The cubic root of 120132630 is about 493.4240666853.

Adding to 120132630 its reverse (36231021), we get a palindrome (156363651).

The spelling of 120132630 in words is "one hundred twenty million, one hundred thirty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 163 171 190 285 326 342 431 489 570 815 855 862 978 1293 1467 1630 1710 2155 2445 2586 2934 3097 3879 4310 4890 6194 6465 7335 7758 8189 9291 12930 14670 15485 16378 18582 19395 24567 27873 30970 38790 40945 46455 49134 55746 70253 73701 81890 92910 122835 139365 140506 147402 210759 245670 278730 351265 368505 421518 632277 702530 737010 1053795 1264554 1334807 2107590 2669614 3161385 4004421 6322770 6674035 8008842 12013263 13348070 20022105 24026526 40044210 60066315 120132630