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631444680 = 233354313597
BaseRepresentation
bin100101101000110…
…001010011001000
31122000011201021000
4211220301103020
52243122212210
6142354015000
721435122406
oct4550612310
91560151230
10631444680
112a4485809
12157577460
13a0a88309
145dc10476
153a67eac0
hex25a314c8

631444680 has 128 divisors (see below), whose sum is σ = 2153923200. Its totient is φ = 164457216.

The previous prime is 631444657. The next prime is 631444717. The reversal of 631444680 is 86444136.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39642 + ... + 53238.

It is an arithmetic number, because the mean of its divisors is an integer number (16827525).

Almost surely, 2631444680 is an apocalyptic number.

631444680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631444680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076961600).

631444680 is an abundant number, since it is smaller than the sum of its proper divisors (1522478520).

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

631444680 is a wasteful number, since it uses less digits than its factorization.

631444680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13660 (or 13650 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 631444680 is about 25128.5630309415. The cubic root of 631444680 is about 857.9166626476.

The spelling of 631444680 in words is "six hundred thirty-one million, four hundred forty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 86 90 108 120 129 135 172 180 215 216 258 270 344 360 387 430 516 540 645 774 860 1032 1080 1161 1290 1548 1720 1935 2322 2580 3096 3870 4644 5160 5805 7740 9288 11610 13597 15480 23220 27194 40791 46440 54388 67985 81582 108776 122373 135970 163164 203955 244746 271940 326328 367119 407910 489492 543880 584671 611865 734238 815820 978984 1169342 1223730 1468476 1631640 1754013 1835595 2338684 2447460 2923355 2936952 3508026 3671190 4677368 4894920 5262039 5846710 7016052 7342380 8770065 10524078 11693420 14032104 14684760 15786117 17540130 21048156 23386840 26310195 31572234 35080260 42096312 52620390 63144468 70160520 78930585 105240780 126288936 157861170 210481560 315722340 631444680