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690174468 = 2232193727271
BaseRepresentation
bin101001001000110…
…011101000000100
31210002200111101100
4221020303220010
52403141040333
6152252500100
723050246314
oct5110635004
91702614340
10690174468
11324649325
1217317a630
13accac079
146793b444
15408d1213
hex29233a04

690174468 has 72 divisors (see below), whose sum is σ = 1886131520. Its totient is φ = 212051520.

The previous prime is 690174439. The next prime is 690174481. The reversal of 690174468 is 864471096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11673 + ... + 38943.

Almost surely, 2690174468 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 690174468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943065760).

690174468 is an abundant number, since it is smaller than the sum of its proper divisors (1195957052).

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

690174468 is a wasteful number, since it uses less digits than its factorization.

690174468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27337 (or 27332 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 690174468 is about 26271.1718048510. The cubic root of 690174468 is about 883.7300640431.

The spelling of 690174468 in words is "six hundred ninety million, one hundred seventy-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 111 114 148 171 222 228 333 342 444 666 684 703 1332 1406 2109 2812 4218 6327 8436 12654 25308 27271 54542 81813 109084 163626 245439 327252 490878 518149 981756 1009027 1036298 1554447 2018054 2072596 3027081 3108894 4036108 4663341 6054162 6217788 9081243 9326682 12108324 18162486 18653364 19171513 36324972 38343026 57514539 76686052 115029078 172543617 230058156 345087234 690174468