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690872 = 23713273
BaseRepresentation
bin10101000101010111000
31022002200212
42220222320
5134101442
622450252
75605130
oct2505270
91262625
10690872
11432076
12293988
131b2600
1413dac0
15d9a82
hexa8ab8

690872 has 48 divisors (see below), whose sum is σ = 1625040. Its totient is φ = 269568.

The previous prime is 690871. The next prime is 690887. The reversal of 690872 is 278096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9428 + ... + 9500.

It is an arithmetic number, because the mean of its divisors is an integer number (33855).

2690872 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 690872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812520).

690872 is an abundant number, since it is smaller than the sum of its proper divisors (934168).

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

690872 is a wasteful number, since it uses less digits than its factorization.

690872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 690872 is about 831.1871028836. The cubic root of 690872 is about 88.4027680794.

The spelling of 690872 in words is "six hundred ninety thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 73 91 104 146 169 182 292 338 364 511 584 676 728 949 1022 1183 1352 1898 2044 2366 3796 4088 4732 6643 7592 9464 12337 13286 24674 26572 49348 53144 86359 98696 172718 345436 690872