Search a number
-
+
675772100 = 2252173112823
BaseRepresentation
bin101000010001110…
…111011011000100
31202002120210001022
4220101313123010
52340444201400
6151020050312
722513653023
oct5021673304
91662523038
10675772100
11317501643
1216a393998
13aa008763
1465a6c8ba
153e4d8b85
hex284776c4

675772100 has 72 divisors (see below), whose sum is σ = 1602897408. Its totient is φ = 246182400.

The previous prime is 675772099. The next prime is 675772159. The reversal of 675772100 is 1277576.

It is a super-2 number, since 2×6757721002 = 913335862276820000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46289 + ... + 59111.

It is an arithmetic number, because the mean of its divisors is an integer number (22262464).

Almost surely, 2675772100 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 675772100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801448704).

675772100 is an abundant number, since it is smaller than the sum of its proper divisors (927125308).

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

675772100 is a wasteful number, since it uses less digits than its factorization.

675772100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12885 (or 12878 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 35.

The square root of 675772100 is about 25995.6169382456. The cubic root of 675772100 is about 877.5396583294.

The spelling of 675772100 in words is "six hundred seventy-five million, seven hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 31 34 50 62 68 85 100 124 155 170 310 340 425 527 620 775 850 1054 1550 1700 2108 2635 3100 5270 10540 12823 13175 25646 26350 51292 52700 64115 128230 217991 256460 320575 397513 435982 641150 795026 871964 1089955 1282300 1590052 1987565 2179910 3975130 4359820 5449775 6757721 7950260 9937825 10899550 13515442 19875650 21799100 27030884 33788605 39751300 67577210 135154420 168943025 337886050 675772100