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675630072 = 233413139577
BaseRepresentation
bin101000010001010…
…100101111111000
31202002022120020000
4220101110233320
52340430130242
6151013033000
722512521655
oct5021245770
91662276200
10675630072
11317414967
1216a325760
13a9c88c10
1465a32c2c
153e4aba4c
hex28454bf8

675630072 has 160 divisors (see below), whose sum is σ = 2056177200. Its totient is φ = 206032896.

The previous prime is 675630049. The next prime is 675630079. The reversal of 675630072 is 270036576.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675630079) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1170648 + ... + 1171224.

Almost surely, 2675630072 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 675630072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028088600).

675630072 is an abundant number, since it is smaller than the sum of its proper divisors (1380547128).

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

675630072 is a wasteful number, since it uses less digits than its factorization.

675630072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 675630072 is about 25992.8850264837. The cubic root of 675630072 is about 877.4781760954.

The spelling of 675630072 in words is "six hundred seventy-five million, six hundred thirty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 139 156 162 216 234 278 312 324 351 417 468 556 577 648 702 834 936 1053 1112 1154 1251 1404 1668 1731 1807 2106 2308 2502 2808 3336 3462 3614 3753 4212 4616 5004 5193 5421 6924 7228 7501 7506 8424 10008 10386 10842 11259 13848 14456 15002 15012 15579 16263 20772 21684 22503 22518 30004 30024 31158 32526 41544 43368 45006 45036 46737 48789 60008 62316 65052 67509 80203 90012 90072 93474 97578 124632 130104 135018 146367 160406 180024 186948 195156 202527 240609 270036 292734 320812 373896 390312 405054 481218 540072 585468 607581 641624 721827 810108 962436 1042639 1170936 1215162 1443654 1620216 1924872 2085278 2165481 2430324 2887308 3127917 4170556 4330962 4860648 5774616 6255834 6496443 8341112 8661924 9383751 12511668 12992886 17323848 18767502 25023336 25985772 28151253 37535004 51971544 56302506 75070008 84453759 112605012 168907518 225210024 337815036 675630072