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120630132 = 223271732767
BaseRepresentation
bin1110011000010…
…10101101110100
322101222122102200
413030022231310
5221340131012
615545304500
72663224230
oct714125564
9271878380
10120630132
1162102227
1234495130
131bcb799c
14120415c0
15a8cc3dc
hex730ab74

120630132 has 72 divisors (see below), whose sum is σ = 350628096. Its totient is φ = 34254144.

The previous prime is 120630131. The next prime is 120630149. The reversal of 120630132 is 231036021.

120630132 is a `hidden beast` number, since 1 + 2 + 0 + 630 + 1 + 32 = 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 (120630131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42213 + ... + 44979.

Almost surely, 2120630132 is an apocalyptic number.

120630132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120630132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175314048).

120630132 is an abundant number, since it is smaller than the sum of its proper divisors (229997964).

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

120630132 is a wasteful number, since it uses less digits than its factorization.

120630132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2952 counting only the distinct ones).

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

The square root of 120630132 is about 10983.1749508054. The cubic root of 120630132 is about 494.1042631529.

Adding to 120630132 its reverse (231036021), we get a palindrome (351666153).

The spelling of 120630132 in words is "one hundred twenty million, six hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 173 252 346 519 692 1038 1211 1557 2076 2422 2767 3114 3633 4844 5534 6228 7266 8301 10899 11068 14532 16602 19369 21798 24903 33204 38738 43596 49806 58107 77476 99612 116214 174321 232428 348642 478691 697284 957382 1436073 1914764 2872146 3350837 4308219 5744292 6701674 8616438 10052511 13403348 17232876 20105022 30157533 40210044 60315066 120630132