Search a number
-
+
120838080 = 26351111443
BaseRepresentation
bin1110011001111…
…01011111000000
322102101012200110
413030331133000
5221413304310
615553551320
72665051416
oct714753700
9272335613
10120838080
1162234490
1234575540
131c05b52c
14120972b6
15a91dd20
hex733d7c0

120838080 has 112 divisors (see below), whose sum is σ = 418575744. Its totient is φ = 29291520.

The previous prime is 120838079. The next prime is 120838097. The reversal of 120838080 is 80838021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4839 + ... + 16281.

Almost surely, 2120838080 is an apocalyptic number.

120838080 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 120838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209287872).

120838080 is an abundant number, since it is smaller than the sum of its proper divisors (297737664).

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

120838080 is a wasteful number, since it uses less digits than its factorization.

120838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11474 (or 11464 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 120838080 is about 10992.6375360966. The cubic root of 120838080 is about 494.3880203631.

The spelling of 120838080 in words is "one hundred twenty million, eight hundred thirty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 11443 22886 34329 45772 57215 68658 91544 114430 125873 137316 171645 183088 228860 251746 274632 343290 366176 377619 457720 503492 549264 629365 686580 732352 755238 915440 1006984 1098528 1258730 1373160 1510476 1830880 1888095 2013968 2197056 2517460 2746320 3020952 3661760 3776190 4027936 5034920 5492640 6041904 7552380 8055872 10069840 10985280 12083808 15104760 20139680 24167616 30209520 40279360 60419040 120838080