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2513425440 = 253531168913
BaseRepresentation
bin1001010111001111…
…1101010000100000
320111011110020112010
42111303331100200
520121414103230
61053223232520
7116166522651
oct22563752040
96434406463
102513425440
11107a843809
125a18a8740
133109501b6
1419bb47528
15ea9cd9b0
hex95cfd420

2513425440 has 96 divisors (see below), whose sum is σ = 8172734976. Its totient is φ = 648622080.

The previous prime is 2513425417. The next prime is 2513425451. The reversal of 2513425440 is 445243152.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2513425398 and 2513425407.

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, 69577 + ... + 99336.

It is an arithmetic number, because the mean of its divisors is an integer number (85132656).

Almost surely, 22513425440 is an apocalyptic number.

2513425440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2513425440 is an abundant number, since it is smaller than the sum of its proper divisors (5659309536).

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

2513425440 is a wasteful number, since it uses less digits than its factorization.

2513425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168962 (or 168954 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2513425440 is about 50134.0746399093. The cubic root of 2513425440 is about 1359.6339556979.

Adding to 2513425440 its reverse (445243152), we get a palindrome (2958668592).

The spelling of 2513425440 in words is "two billion, five hundred thirteen million, four hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 168913 337826 506739 675652 844565 1013478 1351304 1689130 2026956 2533695 2702608 3378260 4053912 5067390 5236303 5405216 6756520 8107824 10134780 10472606 13513040 15708909 16215648 20269560 20945212 26181515 27026080 31417818 40539120 41890424 52363030 62835636 78544545 81078240 83780848 104726060 125671272 157089090 167561696 209452120 251342544 314178180 418904240 502685088 628356360 837808480 1256712720 2513425440