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2520120200 = 2352133131267
BaseRepresentation
bin1001011000110101…
…1111101110001000
320111122001101000012
42112031133232020
520130122321300
61054022531052
7116310445133
oct22615375610
96448041005
102520120200
1110835a6674
125a3b96a88
133121554b0
1419c9ab21a
15eb3a2435
hex9635fb88

2520120200 has 96 divisors (see below), whose sum is σ = 6513749760. Its totient is φ = 900460800.

The previous prime is 2520120191. The next prime is 2520120217. The reversal of 2520120200 is 20210252.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64967 + ... + 96233.

It is an arithmetic number, because the mean of its divisors is an integer number (67851560).

Almost surely, 22520120200 is an apocalyptic number.

2520120200 is a gapful number since it is divisible by the number (20) 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 2520120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256874880).

2520120200 is an abundant number, since it is smaller than the sum of its proper divisors (3993629560).

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

2520120200 is a wasteful number, since it uses less digits than its factorization.

2520120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31327 (or 31318 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2520120200 is about 50200.7987984255. The cubic root of 2520120200 is about 1360.8400591396.

Adding to 2520120200 its reverse (20210252), we get a palindrome (2540330452).

The spelling of 2520120200 in words is "two billion, five hundred twenty million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 31 40 50 52 62 65 100 104 124 130 155 200 248 260 310 325 403 520 620 650 775 806 1240 1300 1550 1612 2015 2600 3100 3224 4030 6200 8060 10075 16120 20150 31267 40300 62534 80600 125068 156335 250136 312670 406471 625340 781675 812942 969277 1250680 1563350 1625884 1938554 2032355 3126700 3251768 3877108 4064710 4846385 6253400 7754216 8129420 9692770 10161775 12600601 16258840 19385540 20323550 24231925 25201202 38771080 40647100 48463850 50402404 63003005 81294200 96927700 100804808 126006010 193855400 252012020 315015025 504024040 630030050 1260060100 2520120200