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1520116320 = 25355359753
BaseRepresentation
bin101101010011011…
…0010001001100000
310220221100220120110
41122212302021200
511103122210240
6410501211320
752445530002
oct13246621140
93827326513
101520116320
1171007a988
12365100b40
131b2c16618
14105c5c372
158d6bec80
hex5a9b2260

1520116320 has 96 divisors (see below), whose sum is σ = 4878794592. Its totient is φ = 397709312.

The previous prime is 1520116313. The next prime is 1520116361. The reversal of 1520116320 is 236110251.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4437 + ... + 55316.

It is an arithmetic number, because the mean of its divisors is an integer number (50820777).

Almost surely, 21520116320 is an apocalyptic number.

1520116320 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 1520116320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439397296).

1520116320 is an abundant number, since it is smaller than the sum of its proper divisors (3358678272).

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

1520116320 is a wasteful number, since it uses less digits than its factorization.

1520116320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59824 (or 59816 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1520116320 is about 38988.6691232209. The cubic root of 1520116320 is about 1149.8087445017.

Adding to 1520116320 its reverse (236110251), we get a palindrome (1756226571).

The spelling of 1520116320 in words is "one billion, five hundred twenty million, one hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 848 1060 1272 1590 1696 2120 2544 3180 4240 5088 6360 8480 12720 25440 59753 119506 179259 239012 298765 358518 478024 597530 717036 896295 956048 1195060 1434072 1792590 1912096 2390120 2868144 3166909 3585180 4780240 5736288 6333818 7170360 9500727 9560480 12667636 14340720 15834545 19001454 25335272 28681440 31669090 38002908 47503635 50670544 63338180 76005816 95007270 101341088 126676360 152011632 190014540 253352720 304023264 380029080 506705440 760058160 1520116320