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2513004240 = 243565915889
BaseRepresentation
bin1001010111001001…
…0110011011010000
320111010122211202010
42111302112123100
520121312113430
61053210222520
7116163116655
oct22562263320
96433584663
102513004240
11107a58630a
125a1724a40
13310833576
1419ba77c2c
15ea948cb0
hex95c966d0

2513004240 has 80 divisors (see below), whose sum is σ = 7802625600. Its totient is φ = 669075456.

The previous prime is 2513004223. The next prime is 2513004257. The reversal of 2513004240 is 424003152.

It is an interprime number because it is at equal distance from previous prime (2513004223) and next prime (2513004257).

It is a tau number, because it is divible by the number of its divisors (80).

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, 150216 + ... + 166104.

It is an arithmetic number, because the mean of its divisors is an integer number (97532820).

Almost surely, 22513004240 is an apocalyptic number.

2513004240 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 2513004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901312800).

2513004240 is an abundant number, since it is smaller than the sum of its proper divisors (5289621360).

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

2513004240 is a wasteful number, since it uses less digits than its factorization.

2513004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16564 (or 16558 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2513004240 is about 50129.8737281474. The cubic root of 2513004240 is about 1359.5580022725.

Adding to 2513004240 its reverse (424003152), we get a palindrome (2937007392).

The spelling of 2513004240 in words is "two billion, five hundred thirteen million, four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 659 1318 1977 2636 3295 3954 5272 6590 7908 9885 10544 13180 15816 15889 19770 26360 31632 31778 39540 47667 52720 63556 79080 79445 95334 127112 158160 158890 190668 238335 254224 317780 381336 476670 635560 762672 953340 1271120 1906680 3813360 10470851 20941702 31412553 41883404 52354255 62825106 83766808 104708510 125650212 157062765 167533616 209417020 251300424 314125530 418834040 502600848 628251060 837668080 1256502120 2513004240