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520134144 = 2932314723
BaseRepresentation
bin11111000000001…
…001111000000000
31100020201112220120
4133000021320000
52031123243034
6123340140240
715614032035
oct3700117000
91306645816
10520134144
11247669532
12126237680
13839b45aa
144d11738c
15309e3c49
hex1f009e00

520134144 has 80 divisors (see below), whose sum is σ = 1446014592. Its totient is φ = 165828608.

The previous prime is 520134137. The next prime is 520134161. The reversal of 520134144 is 441431025.

It is a super-2 number, since 2×5201341442 = 541079055509225472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27967 + ... + 42689.

Almost surely, 2520134144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723007296).

520134144 is an abundant number, since it is smaller than the sum of its proper divisors (925880448).

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

520134144 is a wasteful number, since it uses less digits than its factorization.

520134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14767 (or 14751 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 520134144 is about 22806.4496140894. The cubic root of 520134144 is about 804.2142940080.

Adding to 520134144 its reverse (441431025), we get a palindrome (961565169).

The spelling of 520134144 in words is "five hundred twenty million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1104 1472 1536 2208 2944 4416 5888 8832 11776 14723 17664 29446 35328 44169 58892 88338 117784 176676 235568 338629 353352 471136 677258 706704 942272 1015887 1354516 1413408 1884544 2031774 2709032 2826816 3769088 4063548 5418064 5653632 7538176 8127096 10836128 11307264 16254192 21672256 22614528 32508384 43344512 65016768 86689024 130033536 173378048 260067072 520134144