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534874860 = 223351325861
BaseRepresentation
bin11111111000011…
…000101011101100
31101021110110101000
4133320120223230
52043411443420
6125024120300
716153234632
oct3770305354
91337413330
10534874860
11254a17443
1212b166090
1386a75c00
1451073352
1531e56690
hex1fe18aec

534874860 has 144 divisors (see below), whose sum is σ = 1802213280. Its totient is φ = 131639040.

The previous prime is 534874841. The next prime is 534874903. The reversal of 534874860 is 68478435.

It is a super-2 number, since 2×5348748602 = 572182231720039200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88330 + ... + 94190.

It is an arithmetic number, because the mean of its divisors is an integer number (12515370).

Almost surely, 2534874860 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 534874860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901106640).

534874860 is an abundant number, since it is smaller than the sum of its proper divisors (1267338420).

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

534874860 is a wasteful number, since it uses less digits than its factorization.

534874860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5905 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 534874860 is about 23127.3617172387. The cubic root of 534874860 is about 811.7408375613.

It can be divided in two parts, 5348 and 74860, that added together give a palindrome (80208).

The spelling of 534874860 in words is "five hundred thirty-four million, eight hundred seventy-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 169 180 195 234 260 270 338 351 390 468 507 540 585 676 702 780 845 1014 1170 1404 1521 1690 1755 2028 2340 2535 3042 3380 3510 4563 5070 5861 6084 7020 7605 9126 10140 11722 15210 17583 18252 22815 23444 29305 30420 35166 45630 52749 58610 70332 76193 87915 91260 105498 117220 152386 158247 175830 210996 228579 263745 304772 316494 351660 380965 457158 527490 632988 685737 761930 791235 914316 990509 1054980 1142895 1371474 1523860 1582470 1981018 2057211 2285790 2742948 2971527 3164940 3428685 3962036 4114422 4571580 4952545 5943054 6857370 8228844 8914581 9905090 10286055 11886108 13714740 14857635 17829162 19810180 20572110 26743743 29715270 35658324 41144220 44572905 53487486 59430540 89145810 106974972 133718715 178291620 267437430 534874860