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120404130 = 235711471109
BaseRepresentation
bin1110010110100…
…11100010100010
322101120011102020
413023103202202
5221310413010
615540402310
72661263310
oct713234242
9271504366
10120404130
1161a68450
12343a6396
131bc38b62
1411dc30b0
15a885470
hex72d38a2

120404130 has 128 divisors (see below), whose sum is σ = 368271360. Its totient is φ = 24464640.

The previous prime is 120404129. The next prime is 120404147. The reversal of 120404130 is 31404021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 108016 + ... + 109124.

It is an arithmetic number, because the mean of its divisors is an integer number (2877120).

Almost surely, 2120404130 is an apocalyptic number.

120404130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120404130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184135680).

120404130 is an abundant number, since it is smaller than the sum of its proper divisors (247867230).

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

120404130 is a wasteful number, since it uses less digits than its factorization.

120404130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 120404130 is about 10972.8815723127. The cubic root of 120404130 is about 493.7955001599.

Adding to 120404130 its reverse (31404021), we get a palindrome (151808151).

The spelling of 120404130 in words is "one hundred twenty million, four hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 47 55 66 70 77 94 105 110 141 154 165 210 231 235 282 329 330 385 462 470 517 658 705 770 987 1034 1109 1155 1410 1551 1645 1974 2218 2310 2585 3102 3290 3327 3619 4935 5170 5545 6654 7238 7755 7763 9870 10857 11090 12199 15510 15526 16635 18095 21714 23289 24398 33270 36190 36597 38815 46578 52123 54285 60995 73194 77630 85393 104246 108570 116445 121990 156369 170786 182985 232890 256179 260615 312738 364861 365970 426965 512358 521230 573353 729722 781845 853930 1094583 1146706 1280895 1563690 1720059 1824305 2189166 2561790 2866765 3440118 3648610 4013471 5472915 5733530 8026942 8600295 10945830 12040413 17200590 20067355 24080826 40134710 60202065 120404130