Search a number
-
+
688055820 = 223525744621
BaseRepresentation
bin101001000000101…
…110011000001100
31202221200212010220
4221000232120030
52402120241240
6152135231340
723023243434
oct5100563014
91687625126
10688055820
11323431581
12172518550
13ac71992a
14675492c4
15406135d0
hex2902e60c

688055820 has 48 divisors (see below), whose sum is σ = 1934095968. Its totient is φ = 182763520.

The previous prime is 688055801. The next prime is 688055821. The reversal of 688055820 is 28550886.

It is a super-2 number, since 2×6880558202 = 946841622871744800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (688055821) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6891 + ... + 37730.

It is an arithmetic number, because the mean of its divisors is an integer number (40293666).

Almost surely, 2688055820 is an apocalyptic number.

688055820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

688055820 is an abundant number, since it is smaller than the sum of its proper divisors (1246040148).

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

688055820 is a wasteful number, since it uses less digits than its factorization.

688055820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44890 (or 44888 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 688055820 is about 26230.8181344006. The cubic root of 688055820 is about 882.8248668192.

The spelling of 688055820 in words is "six hundred eighty-eight million, fifty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 257 514 771 1028 1285 1542 2570 3084 3855 5140 7710 15420 44621 89242 133863 178484 223105 267726 446210 535452 669315 892420 1338630 2677260 11467597 22935194 34402791 45870388 57337985 68805582 114675970 137611164 172013955 229351940 344027910 688055820