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120552520 = 23511833301
BaseRepresentation
bin1110010111101…
…11110001001000
322101211200222011
413023313301020
5221330140040
615543505304
72662452034
oct713676110
9271750864
10120552520
1162059990
1234458234
131bc8b56a
14120211c4
15a8b43ea
hex72f7c48

120552520 has 64 divisors (see below), whose sum is σ = 299557440. Its totient is φ = 43296000.

The previous prime is 120552463. The next prime is 120552541. The reversal of 120552520 is 25255021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 120552491 and 120552500.

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, 34870 + ... + 38170.

It is an arithmetic number, because the mean of its divisors is an integer number (4680585).

Almost surely, 2120552520 is an apocalyptic number.

120552520 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 120552520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

120552520 is an abundant number, since it is smaller than the sum of its proper divisors (179004920).

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

120552520 is a wasteful number, since it uses less digits than its factorization.

120552520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 120552520 is about 10979.6411598922. The cubic root of 120552520 is about 493.9982734727.

The spelling of 120552520 in words is "one hundred twenty million, five hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 110 166 220 332 415 440 664 830 913 1660 1826 3301 3320 3652 4565 6602 7304 9130 13204 16505 18260 26408 33010 36311 36520 66020 72622 132040 145244 181555 273983 290488 363110 547966 726220 1095932 1369915 1452440 2191864 2739830 3013813 5479660 6027626 10959320 12055252 15069065 24110504 30138130 60276260 120552520