Search a number
-
+
120133656 = 233219137641
BaseRepresentation
bin1110010100100…
…01100000011000
322101001102101200
413022101200120
5221223234111
615530514200
72656055616
oct712214030
9271042350
10120133656
11618a3215
1234295960
131bb72a06
1411d526b6
15a830256
hex7291818

120133656 has 96 divisors (see below), whose sum is σ = 345524400. Its totient is φ = 37601280.

The previous prime is 120133639. The next prime is 120133687. The reversal of 120133656 is 656331021.

120133656 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 3 + 3 + 656 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187096 + ... + 187736.

Almost surely, 2120133656 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 120133656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172762200).

120133656 is an abundant number, since it is smaller than the sum of its proper divisors (225390744).

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

120133656 is a wasteful number, since it uses less digits than its factorization.

120133656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 120133656 is about 10960.5499862005. The cubic root of 120133656 is about 493.4254713873.

Adding to 120133656 its reverse (656331021), we get a palindrome (776464677).

The spelling of 120133656 in words is "one hundred twenty million, one hundred thirty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 137 152 171 228 274 342 411 456 548 641 684 822 1096 1233 1282 1368 1644 1923 2466 2564 2603 3288 3846 4932 5128 5206 5769 7692 7809 9864 10412 11538 12179 15384 15618 20824 23076 23427 24358 31236 36537 46152 46854 48716 62472 73074 87817 93708 97432 109611 146148 175634 187416 219222 263451 292296 351268 438444 526902 702536 790353 876888 1053804 1580706 1668523 2107608 3161412 3337046 5005569 6322824 6674092 10011138 13348184 15016707 20022276 30033414 40044552 60066828 120133656