Search a number
-
+
690345516 = 223723313547
BaseRepresentation
bin101001001001011…
…101011000101100
31210010000012000110
4221021131120230
52403212024031
6152300300020
723051561100
oct5111353054
91703005013
10690345516
11324755893
12173241610
13b003bb93
1467983900
1540916c46
hex2925d62c

690345516 has 72 divisors (see below), whose sum is σ = 1879985856. Its totient is φ = 196590240.

The previous prime is 690345497. The next prime is 690345517. The reversal of 690345516 is 615543096.

It is a super-2 number, since 2×6903455162 = 953153862922612512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (690345517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192855 + ... + 196401.

Almost surely, 2690345516 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 690345516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939992928).

690345516 is an abundant number, since it is smaller than the sum of its proper divisors (1189640340).

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

690345516 is a wasteful number, since it uses less digits than its factorization.

690345516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899 (or 3890 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 690345516 is about 26274.4270346662. The cubic root of 690345516 is about 883.8030638333.

The spelling of 690345516 in words is "six hundred ninety million, three hundred forty-five thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 331 588 662 993 1324 1986 2317 3547 3972 4634 6951 7094 9268 10641 13902 14188 16219 21282 24829 27804 32438 42564 48657 49658 64876 74487 97314 99316 148974 173803 194628 297948 347606 521409 695212 1042818 1174057 2085636 2348114 3522171 4696228 7044342 8218399 14088684 16436798 24655197 32873596 49310394 57528793 98620788 115057586 172586379 230115172 345172758 690345516