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690472512 = 2634235791
BaseRepresentation
bin101001001001111…
…100011001000000
31210010020122020000
4221021330121000
52403230110022
6152303120000
723052630252
oct5111743100
91703218200
10690472512
11324832244
121732a3000
13b0084922
14679b7cd2
154093e6ac
hex2927c640

690472512 has 140 divisors (see below), whose sum is σ = 2136135936. Its totient is φ = 220112640.

The previous prime is 690472487. The next prime is 690472537. The reversal of 690472512 is 215274096.

It is an interprime number because it is at equal distance from previous prime (690472487) and next prime (690472537).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 116337 + ... + 122127.

Almost surely, 2690472512 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 690472512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068067968).

690472512 is an abundant number, since it is smaller than the sum of its proper divisors (1445663424).

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

690472512 is a wasteful number, since it uses less digits than its factorization.

690472512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5838 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 690472512 is about 26276.8436460698. The cubic root of 690472512 is about 883.8572553309.

The spelling of 690472512 in words is "six hundred ninety million, four hundred seventy-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 414 432 552 576 621 648 736 828 864 1104 1242 1296 1472 1656 1728 1863 2208 2484 2592 3312 3726 4416 4968 5184 5791 6624 7452 9936 11582 13248 14904 17373 19872 23164 29808 34746 39744 46328 52119 59616 69492 92656 104238 119232 133193 138984 156357 185312 208476 266386 277968 312714 370624 399579 416952 469071 532772 555936 625428 799158 833904 938142 1065544 1111872 1198737 1250856 1598316 1667808 1876284 2131088 2397474 2501712 3196632 3335616 3596211 3752568 4262176 4794948 5003424 6393264 7192422 7505136 8524352 9589896 10006848 10788633 12786528 14384844 15010272 19179792 21577266 25573056 28769688 30020544 38359584 43154532 57539376 76719168 86309064 115078752 172618128 230157504 345236256 690472512