Search a number
-
+
690857856 = 27331315377
BaseRepresentation
bin101001001011011…
…010011110000000
31210010222012211000
4221023122132000
52403324422411
6152315252000
723056123563
oct5113323600
91703865730
10690857856
11324a75807
1217344a000
13b018b140
1467a784da
15409b8956
hex292da780

690857856 has 128 divisors (see below), whose sum is σ = 2195978400. Its totient is φ = 212557824.

The previous prime is 690857833. The next prime is 690857857. The reversal of 690857856 is 658758096.

690857856 is a `hidden beast` number, since 69 + 0 + 8 + 578 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690857857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37240 + ... + 52616.

Almost surely, 2690857856 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 690857856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097989200).

690857856 is an abundant number, since it is smaller than the sum of its proper divisors (1505120544).

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

690857856 is a wasteful number, since it uses less digits than its factorization.

690857856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15413 (or 15395 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 690857856 is about 26284.1750108311. The cubic root of 690857856 is about 884.0216479483.

The spelling of 690857856 in words is "six hundred ninety million, eight hundred fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 15377 22464 30754 44928 46131 61508 92262 123016 138393 184524 199901 246032 276786 369048 399802 415179 492064 553572 599703 738096 799604 830358 984128 1107144 1199406 1476192 1599208 1660716 1799109 1968256 2214288 2398812 2952384 3198416 3321432 3598218 4428576 4797624 5397327 5904768 6396832 6642864 7196436 8857152 9595248 10794654 12793664 13285728 14392872 17714304 19190496 21589308 25587328 26571456 28785744 38380992 43178616 53142912 57571488 76761984 86357232 115142976 172714464 230285952 345428928 690857856