Search a number
-
+
120851200 = 285223821
BaseRepresentation
bin1110011010000…
…00101100000000
322102101212200101
413031000230000
5221414214300
615554132144
72665134601
oct715005400
9272355611
10120851200
1162243328
1234581054
131c0644b2
141209bda8
15a922b6a
hex7340b00

120851200 has 108 divisors (see below), whose sum is σ = 312511248. Its totient is φ = 46182400.

The previous prime is 120851197. The next prime is 120851219. The reversal of 120851200 is 2158021.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146790 + ... + 147610.

Almost surely, 2120851200 is an apocalyptic number.

120851200 is a gapful number since it is divisible by the number (10) 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 120851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156255624).

120851200 is an abundant number, since it is smaller than the sum of its proper divisors (191660048).

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

120851200 is an equidigital number, since it uses as much as digits as its factorization.

120851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 120851200 is about 10993.2342829579. The cubic root of 120851200 is about 494.4059124494.

The spelling of 120851200 in words is "one hundred twenty million, eight hundred fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 128 160 184 200 230 256 320 368 400 460 575 640 736 800 821 920 1150 1280 1472 1600 1642 1840 2300 2944 3200 3284 3680 4105 4600 5888 6400 6568 7360 8210 9200 13136 14720 16420 18400 18883 20525 26272 29440 32840 36800 37766 41050 52544 65680 73600 75532 82100 94415 105088 131360 147200 151064 164200 188830 210176 262720 302128 328400 377660 472075 525440 604256 656800 755320 944150 1050880 1208512 1313600 1510640 1888300 2417024 2627200 3021280 3776600 4834048 5254400 6042560 7553200 12085120 15106400 24170240 30212800 60425600 120851200