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511054068 = 2237171672143
BaseRepresentation
bin11110011101100…
…001000011110100
31022121122020101110
4132131201003310
52021312212233
6122413355020
715443613360
oct3635410364
91277566343
10511054068
11242527538
12123198a70
1381b55675
144bc322a0
152eced663
hex1e7610f4

511054068 has 96 divisors (see below), whose sum is σ = 1452294144. Its totient is φ = 136539648.

The previous prime is 511054007. The next prime is 511054069. The reversal of 511054068 is 860450115.

It is a super-2 number, since 2×5110540682 = 522352520838697248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511054069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237405 + ... + 239547.

It is an arithmetic number, because the mean of its divisors is an integer number (15128064).

Almost surely, 2511054068 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 511054068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726147072).

511054068 is an abundant number, since it is smaller than the sum of its proper divisors (941240076).

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

511054068 is a wasteful number, since it uses less digits than its factorization.

511054068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 511054068 is about 22606.5049930324. The cubic root of 511054068 is about 799.5070233633.

The spelling of 511054068 in words is "five hundred eleven million, fifty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 167 204 238 334 357 476 501 668 714 1002 1169 1428 2004 2143 2338 2839 3507 4286 4676 5678 6429 7014 8517 8572 11356 12858 14028 15001 17034 19873 25716 30002 34068 36431 39746 45003 59619 60004 72862 79492 90006 109293 119238 145724 180012 218586 238476 255017 357881 437172 510034 715762 765051 1020068 1073643 1431524 1530102 2147286 2505167 3060204 4294572 5010334 6083977 7515501 10020668 12167954 15031002 18251931 24335908 30062004 36503862 42587839 73007724 85175678 127763517 170351356 255527034 511054068