Search a number
-
+
120091392 = 2832471109
BaseRepresentation
bin1110010100001…
…11001100000000
322100222021102100
413022013030000
5221220411032
615525550400
72655521451
oct712071400
9270867370
10120091392
1161874493
1234275400
131bb596c5
1411d41128
15a82297c
hex7287300

120091392 has 108 divisors (see below), whose sum is σ = 353939040. Its totient is φ = 39143424.

The previous prime is 120091379. The next prime is 120091393. The reversal of 120091392 is 293190021.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (120091393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107734 + ... + 108842.

Almost surely, 2120091392 is an apocalyptic number.

120091392 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 120091392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176969520).

120091392 is an abundant number, since it is smaller than the sum of its proper divisors (233847648).

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

120091392 is a wasteful number, since it uses less digits than its factorization.

120091392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 120091392 is about 10958.6218111586. The cubic root of 120091392 is about 493.3676008986.

The spelling of 120091392 in words is "one hundred twenty million, ninety-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 564 576 752 768 846 1109 1128 1152 1504 1692 2218 2256 2304 3008 3327 3384 4436 4512 6016 6654 6768 8872 9024 9981 12032 13308 13536 17744 18048 19962 26616 27072 35488 36096 39924 52123 53232 54144 70976 79848 104246 106464 108288 141952 156369 159696 208492 212928 283904 312738 319392 416984 425856 469107 625476 638784 833968 851712 938214 1250952 1277568 1667936 1876428 2501904 2555136 3335872 3752856 5003808 6671744 7505712 10007616 13343488 15011424 20015232 30022848 40030464 60045696 120091392