Search a number
-
+
120315392 = 291723601
BaseRepresentation
bin1110010101111…
…01111000000000
322101101122200122
413022331320000
5221300043032
615534435412
72660443511
oct712757000
9271348618
10120315392
1161a0780a
1234362b68
131bc07652
1411d9ca08
15a869012
hex72bde00

120315392 has 80 divisors (see below), whose sum is σ = 266045472. Its totient is φ = 54067200.

The previous prime is 120315329. The next prime is 120315397. The reversal of 120315392 is 293513021.

It is a super-2 number, since 2×1203153922 = 28951587104227328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120315397) by changing a digit.

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, 199892 + ... + 200492.

Almost surely, 2120315392 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 120315392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133022736).

120315392 is an abundant number, since it is smaller than the sum of its proper divisors (145730080).

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

120315392 is an equidigital number, since it uses as much as digits as its factorization.

120315392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 120315392 is about 10968.8373130428. The cubic root of 120315392 is about 493.6741610379.

The spelling of 120315392 in words is "one hundred twenty million, three hundred fifteen thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 256 272 368 391 512 544 601 736 782 1088 1202 1472 1564 2176 2404 2944 3128 4352 4808 5888 6256 8704 9616 10217 11776 12512 13823 19232 20434 25024 27646 38464 40868 50048 55292 76928 81736 100096 110584 153856 163472 200192 221168 234991 307712 326944 442336 469982 653888 884672 939964 1307776 1769344 1879928 2615552 3538688 3759856 5231104 7077376 7519712 15039424 30078848 60157696 120315392