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512161380 = 22355176199
BaseRepresentation
bin11110100001101…
…111011001100100
31022200201111100000
4132201233121210
52022103131010
6122453221300
715456204603
oct3641573144
91280644300
10512161380
11243113475
12123631830
1382152693
144c03da3a
152ee6b7c0
hex1e86f664

512161380 has 144 divisors (see below), whose sum is σ = 1706140800. Its totient is φ = 128521728.

The previous prime is 512161379. The next prime is 512161417. The reversal of 512161380 is 83161215.

512161380 is a `hidden beast` number, since 512 + 16 + 138 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79521 + ... + 85719.

It is an arithmetic number, because the mean of its divisors is an integer number (11848200).

Almost surely, 2512161380 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 512161380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853070400).

512161380 is an abundant number, since it is smaller than the sum of its proper divisors (1193979420).

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

512161380 is a wasteful number, since it uses less digits than its factorization.

512161380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6240 (or 6226 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 512161380 is about 22630.9827449008. The cubic root of 512161380 is about 800.0840432539.

The spelling of 512161380 in words is "five hundred twelve million, one hundred sixty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 243 255 270 306 324 340 405 459 486 510 540 612 765 810 918 972 1020 1215 1377 1530 1620 1836 2295 2430 2754 3060 4131 4590 4860 5508 6199 6885 8262 9180 12398 13770 16524 18597 20655 24796 27540 30995 37194 41310 55791 61990 74388 82620 92985 105383 111582 123980 167373 185970 210766 223164 278955 316149 334746 371940 421532 502119 526915 557910 632298 669492 836865 948447 1004238 1053830 1115820 1264596 1506357 1580745 1673730 1896894 2008476 2107660 2510595 2845341 3012714 3161490 3347460 3793788 4742235 5021190 5690682 6025428 6322980 7531785 8536023 9484470 10042380 11381364 14226705 15063570 17072046 18968940 25608069 28453410 30127140 34144092 42680115 51216138 56906820 85360230 102432276 128040345 170720460 256080690 512161380