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120152880 = 243251091531
BaseRepresentation
bin1110010100101…
…10001100110000
322101002101202200
413022112030300
5221224343010
615531143200
72656165641
oct712261460
9271071680
10120152880
1161906701
12342a4b00
131bb7b6a3
1411d596c8
15a835cc0
hex7296330

120152880 has 120 divisors (see below), whose sum is σ = 407481360. Its totient is φ = 31726080.

The previous prime is 120152873. The next prime is 120152911. The reversal of 120152880 is 88251021.

It is a tau number, because it is divible by the number of its divisors (120).

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, 77715 + ... + 79245.

It is an arithmetic number, because the mean of its divisors is an integer number (3395678).

Almost surely, 2120152880 is an apocalyptic number.

120152880 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 120152880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203740680).

120152880 is an abundant number, since it is smaller than the sum of its proper divisors (287328480).

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

120152880 is a wasteful number, since it uses less digits than its factorization.

120152880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 120152880 is about 10961.4269144122. The cubic root of 120152880 is about 493.4517895890.

The spelling of 120152880 in words is "one hundred twenty million, one hundred fifty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 109 120 144 180 218 240 327 360 436 545 654 720 872 981 1090 1308 1531 1635 1744 1962 2180 2616 3062 3270 3924 4360 4593 4905 5232 6124 6540 7655 7848 8720 9186 9810 12248 13080 13779 15310 15696 18372 19620 22965 24496 26160 27558 30620 36744 39240 45930 55116 61240 68895 73488 78480 91860 110232 122480 137790 166879 183720 220464 275580 333758 367440 500637 551160 667516 834395 1001274 1102320 1335032 1501911 1668790 2002548 2503185 2670064 3003822 3337580 4005096 5006370 6007644 6675160 7509555 8010192 10012740 12015288 13350320 15019110 20025480 24030576 30038220 40050960 60076440 120152880