Search a number
-
+
693676032 = 211371272
BaseRepresentation
bin101001010110001…
…010100000000000
31210100021101121220
4221112022200000
52410040113112
6152455515040
723122102050
oct5126124000
91710241556
10693676032
11326620085
12174388a80
13b0936aba
14681ad560
1540d7398c
hex2958a800

693676032 has 144 divisors (see below), whose sum is σ = 2130317280. Its totient is φ = 196632576.

The previous prime is 693676019. The next prime is 693676033. The reversal of 693676032 is 230676396.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (693676033) 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, 5461953 + ... + 5462079.

It is an arithmetic number, because the mean of its divisors is an integer number (14793870).

Almost surely, 2693676032 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 693676032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065158640).

693676032 is an abundant number, since it is smaller than the sum of its proper divisors (1436641248).

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

693676032 is an equidigital number, since it uses as much as digits as its factorization.

693676032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 42.

The square root of 693676032 is about 26337.7301983295. The cubic root of 693676032 is about 885.2220630792. Note that the first 3 decimals are identical.

Multiplying 693676032 by its sum of digits (42), we get a square (29134393344 = 1706882).

693676032 divided by its sum of digits (42) gives a square (16516096 = 40642).

The spelling of 693676032 in words is "six hundred ninety-three million, six hundred seventy-six thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 127 128 168 192 224 254 256 336 381 384 448 508 512 672 762 768 889 896 1016 1024 1344 1524 1536 1778 1792 2032 2048 2667 2688 3048 3072 3556 3584 4064 5334 5376 6096 6144 7112 7168 8128 10668 10752 12192 14224 14336 16129 16256 21336 21504 24384 28448 32258 32512 42672 43008 48387 48768 56896 64516 65024 85344 96774 97536 112903 113792 129032 130048 170688 193548 195072 225806 227584 258064 260096 338709 341376 387096 390144 451612 455168 516128 677418 682752 774192 780288 903224 910336 1032256 1354836 1365504 1548384 1806448 1820672 2064512 2709672 2731008 3096768 3612896 4129024 5419344 5462016 6193536 7225792 8258048 10838688 12387072 14451584 16516096 21677376 24774144 28903168 33032192 43354752 49548288 57806336 86709504 99096576 115612672 173419008 231225344 346838016 693676032