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682768440 = 23345210731
BaseRepresentation
bin101000101100100…
…011100000111000
31202120202020020000
4220230203200320
52344242042230
6151430033000
722630302354
oct5054434070
91676666200
10682768440
11320450042
121707a8760
13ab5b80c3
1466970464
153ee1bb60
hex28b23838

682768440 has 80 divisors (see below), whose sum is σ = 2294871480. Its totient is φ = 182070720.

The previous prime is 682768423. The next prime is 682768441. The reversal of 682768440 is 44867286.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682768441) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102126 + ... + 108605.

Almost surely, 2682768440 is an apocalyptic number.

682768440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

682768440 is an abundant number, since it is smaller than the sum of its proper divisors (1612103040).

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

682768440 is a wasteful number, since it uses less digits than its factorization.

682768440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210754 (or 210741 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 682768440 is about 26129.8381166053. The cubic root of 682768440 is about 880.5576871329.

The spelling of 682768440 in words is "six hundred eighty-two million, seven hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 210731 421462 632193 842924 1053655 1264386 1685848 1896579 2107310 2528772 3160965 3793158 4214620 5057544 5689737 6321930 7586316 8429240 9482895 11379474 12643860 15172632 17069211 18965790 22758948 25287720 28448685 34138422 37931580 45517896 56897370 68276844 75863160 85346055 113794740 136553688 170692110 227589480 341384220 682768440