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2470545120 = 253510195051
BaseRepresentation
bin1001001101000001…
…1000011011100000
320101011202200210010
42103100120123200
520024424420440
61045052204520
7115136200311
oct22320303340
96334680703
102470545120
11105861612a
1258b469740
13304ab8624
14196184608
15e6d5d580
hex934186e0

2470545120 has 96 divisors (see below), whose sum is σ = 7791396480. Its totient is φ = 658035200.

The previous prime is 2470545109. The next prime is 2470545137. The reversal of 2470545120 is 215450742.

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

It is a super-2 number, since 2×24705451202 = 12207186379911628800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 486595 + ... + 491645.

It is an arithmetic number, because the mean of its divisors is an integer number (81160380).

Almost surely, 22470545120 is an apocalyptic number.

2470545120 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 2470545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895698240).

2470545120 is an abundant number, since it is smaller than the sum of its proper divisors (5320851360).

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

2470545120 is a wasteful number, since it uses less digits than its factorization.

2470545120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6088 (or 6080 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 2470545120 is about 49704.5784611438. The cubic root of 2470545120 is about 1351.8575471679.

Adding to 2470545120 its reverse (215450742), we get a palindrome (2685995862).

The spelling of 2470545120 in words is "two billion, four hundred seventy million, five hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1019 2038 3057 4076 5051 5095 6114 8152 10102 10190 12228 15153 15285 16304 20204 20380 24456 25255 30306 30570 32608 40408 40760 48912 50510 60612 61140 75765 80816 81520 97824 101020 121224 122280 151530 161632 163040 202040 242448 244560 303060 404080 484896 489120 606120 808160 1212240 2424480 5146969 10293938 15440907 20587876 25734845 30881814 41175752 51469690 61763628 77204535 82351504 102939380 123527256 154409070 164703008 205878760 247054512 308818140 411757520 494109024 617636280 823515040 1235272560 2470545120