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119928480 = 2535725099
BaseRepresentation
bin1110010010111…
…11011010100000
322100122222221120
413021133122200
5221200202410
615522252240
72654242500
oct711373240
9270588846
10119928480
1161773051
12341b7080
131bb004c9
1411cdba00
15a7de570
hex725f6a0

119928480 has 144 divisors (see below), whose sum is σ = 439538400. Its totient is φ = 27406848.

The previous prime is 119928451. The next prime is 119928493. The reversal of 119928480 is 84829911.

It is a super-2 number, since 2×1199284802 = 28765680630220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20971 + ... + 26069.

It is an arithmetic number, because the mean of its divisors is an integer number (3052350).

Almost surely, 2119928480 is an apocalyptic number.

119928480 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 119928480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219769200).

119928480 is an abundant number, since it is smaller than the sum of its proper divisors (319609920).

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

119928480 is a wasteful number, since it uses less digits than its factorization.

119928480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5131 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 119928480 is about 10951.1862371161. The cubic root of 119928480 is about 493.1444045657.

The spelling of 119928480 in words is "one hundred nineteen million, nine hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5099 5880 7840 10198 11760 15297 20396 23520 25495 30594 35693 40792 50990 61188 71386 76485 81584 101980 107079 122376 142772 152970 163168 178465 203960 214158 244752 249851 285544 305940 356930 407920 428316 489504 499702 535395 571088 611880 713860 749553 815840 856632 999404 1070790 1142176 1223760 1249255 1427720 1499106 1713264 1998808 2141580 2447520 2498510 2855440 2998212 3426528 3747765 3997616 4283160 4997020 5710880 5996424 7495530 7995232 8566320 9994040 11992848 14991060 17132640 19988080 23985696 29982120 39976160 59964240 119928480