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120693132 = 22337179391
BaseRepresentation
bin1110011000110…
…10000110001100
322102002211212000
413030122012030
5221344140012
615550512300
72663606010
oct714320614
9272084760
10120693132
116214559a
1234505690
131c00a571
141205a540
15a8e0ddc
hex731a18c

120693132 has 96 divisors (see below), whose sum is σ = 378685440. Its totient is φ = 32451840.

The previous prime is 120693127. The next prime is 120693143. The reversal of 120693132 is 231396021.

It is a super-2 number, since 2×1206931322 = 29133664223938848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 120693096 and 120693105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8157 + ... + 17547.

It is an arithmetic number, because the mean of its divisors is an integer number (3944640).

Almost surely, 2120693132 is an apocalyptic number.

120693132 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 120693132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189342720).

120693132 is an abundant number, since it is smaller than the sum of its proper divisors (257992308).

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

120693132 is a wasteful number, since it uses less digits than its factorization.

120693132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9428 (or 9420 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 120693132 is about 10986.0425995897. The cubic root of 120693132 is about 494.1902647474.

The spelling of 120693132 in words is "one hundred twenty million, six hundred ninety-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 918 1071 1428 1836 2142 3213 4284 6426 9391 12852 18782 28173 37564 56346 65737 84519 112692 131474 159647 169038 197211 253557 262948 319294 338076 394422 478941 507114 591633 638588 788844 957882 1014228 1117529 1183266 1436823 1774899 1915764 2235058 2366532 2873646 3352587 3549798 4310469 4470116 5747292 6705174 7099596 8620938 10057761 13410348 17241876 20115522 30173283 40231044 60346566 120693132