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2520164340 = 223451555657
BaseRepresentation
bin1001011000110110…
…1010011111110100
320111122010121120000
42112031222133310
520130130224330
61054023511300
7116311020621
oct22615523764
96448117500
102520164340
111083626851
125a3bb8530
1331216c605
1419c9bd348
15eb3b0560
hex9636a7f4

2520164340 has 60 divisors (see below), whose sum is σ = 7905853956. Its totient is φ = 672043392.

The previous prime is 2520164329. The next prime is 2520164341. The reversal of 2520164340 is 434610252.

2520164340 is a `hidden beast` number, since 25 + 201 + 6 + 434 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1531313424 + 988850916 = 39132^2 + 31446^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2520164341) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 776209 + ... + 779448.

Almost surely, 22520164340 is an apocalyptic number.

2520164340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2520164340 is an abundant number, since it is smaller than the sum of its proper divisors (5385689616).

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

2520164340 is a wasteful number, since it uses less digits than its factorization.

2520164340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555678 (or 1555667 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2520164340 is about 50201.2384309391. The cubic root of 2520164340 is about 1360.8480041481.

Adding to 2520164340 its reverse (434610252), we get a palindrome (2954774592).

The spelling of 2520164340 in words is "two billion, five hundred twenty million, one hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1555657 3111314 4666971 6222628 7778285 9333942 14000913 15556570 18667884 23334855 28001826 31113140 42002739 46669710 56003652 70004565 84005478 93339420 126008217 140009130 168010956 210013695 252016434 280018260 420027390 504032868 630041085 840054780 1260082170 2520164340