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676169520 = 243513316991
BaseRepresentation
bin101000010011011…
…000011100110000
31202010022222012120
4220103120130300
52341044411040
6151032354240
722520226465
oct5023303460
91663288176
10676169520
11317753194
1216a545980
13aa117610
1465b3366c
153e5667d0
hex284d8730

676169520 has 160 divisors (see below), whose sum is σ = 2330517504. Its totient is φ = 161049600.

The previous prime is 676169519. The next prime is 676169521. The reversal of 676169520 is 25961676.

676169520 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (676169519) and next prime (676169521).

It is not an unprimeable number, because it can be changed into a prime (676169521) 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, 93225 + ... + 100215.

Almost surely, 2676169520 is an apocalyptic number.

676169520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 676169520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165258752).

676169520 is an abundant number, since it is smaller than the sum of its proper divisors (1654347984).

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

676169520 is a wasteful number, since it uses less digits than its factorization.

676169520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7051 (or 7045 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 676169520 is about 26003.2597956487. The cubic root of 676169520 is about 877.7116509616.

The spelling of 676169520 in words is "six hundred seventy-six million, one hundred sixty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 39 40 48 52 60 62 65 78 80 93 104 120 124 130 155 156 186 195 208 240 248 260 310 312 372 390 403 465 496 520 620 624 744 780 806 930 1040 1209 1240 1488 1560 1612 1860 2015 2418 2480 3120 3224 3720 4030 4836 6045 6448 6991 7440 8060 9672 12090 13982 16120 19344 20973 24180 27964 32240 34955 41946 48360 55928 69910 83892 90883 96720 104865 111856 139820 167784 181766 209730 216721 272649 279640 335568 363532 419460 433442 454415 545298 559280 650163 727064 838920 866884 908830 1083605 1090596 1300326 1363245 1454128 1677840 1733768 1817660 2167210 2181192 2600652 2726490 2817373 3250815 3467536 3635320 4334420 4362384 5201304 5452980 5634746 6501630 7270640 8452119 8668840 10402608 10905960 11269492 13003260 14086865 16904238 17337680 21811920 22538984 26006520 28173730 33808476 42260595 45077968 52013040 56347460 67616952 84521190 112694920 135233904 169042380 225389840 338084760 676169520