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693440112 = 2431929157167
BaseRepresentation
bin101001010101010…
…000111001110000
31210022211102000010
4221111100321300
52410010040422
6152450454520
723120100201
oct5125207160
91708742003
10693440112
11326479902
12174294440
13b08835c1
146814b5a8
1540d28b0c
hex29550e70

693440112 has 160 divisors (see below), whose sum is σ = 1974873600. Its totient is φ = 208825344.

The previous prime is 693440107. The next prime is 693440113. The reversal of 693440112 is 211044396.

It is a self number, because there is not a number n which added to its sum of digits gives 693440112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (693440113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4152253 + ... + 4152419.

It is an arithmetic number, because the mean of its divisors is an integer number (12342960).

Almost surely, 2693440112 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 693440112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987436800).

693440112 is an abundant number, since it is smaller than the sum of its proper divisors (1281433488).

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

693440112 is a wasteful number, since it uses less digits than its factorization.

693440112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 693440112 is about 26333.2510716015. The cubic root of 693440112 is about 885.1216966931.

The spelling of 693440112 in words is "six hundred ninety-three million, four hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 38 48 57 58 76 87 114 116 152 157 167 174 228 232 304 314 334 348 456 464 471 501 551 628 668 696 912 942 1002 1102 1256 1336 1392 1653 1884 2004 2204 2512 2672 2983 3173 3306 3768 4008 4408 4553 4843 5966 6346 6612 7536 8016 8816 8949 9106 9519 9686 11932 12692 13224 13659 14529 17898 18212 19038 19372 23864 25384 26219 26448 27318 29058 35796 36424 38076 38744 47728 50768 52438 54636 58116 71592 72848 76152 77488 78657 86507 92017 104876 109272 116232 143184 152304 157314 173014 184034 209752 218544 232464 259521 276051 314628 346028 368068 419504 498161 519042 552102 629256 692056 736136 760351 996322 1038084 1104204 1258512 1384112 1472272 1494483 1520702 1992644 2076168 2208408 2281053 2988966 3041404 3985288 4152336 4416816 4562106 5977932 6082808 7970576 9124212 11955864 12165616 14446669 18248424 23911728 28893338 36496848 43340007 57786676 86680014 115573352 173360028 231146704 346720056 693440112