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682132374 = 233711295657
BaseRepresentation
bin101000101010001…
…000001110010110
31202112112220201000
4220222020032112
52344111213444
6151404244130
722622013060
oct5052101626
91675486630
10682132374
11320056170
12170540646
13ab424731
1466846730
153ed43469
hex28a88396

682132374 has 128 divisors (see below), whose sum is σ = 1955404800. Its totient is φ = 171037440.

The previous prime is 682132351. The next prime is 682132387. The reversal of 682132374 is 473231286.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117754 + ... + 123410.

It is an arithmetic number, because the mean of its divisors is an integer number (15276600).

Almost surely, 2682132374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682132374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977702400).

682132374 is an abundant number, since it is smaller than the sum of its proper divisors (1273272426).

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

682132374 is a wasteful number, since it uses less digits than its factorization.

682132374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5715 (or 5709 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 682132374 is about 26117.6640226495. The cubic root of 682132374 is about 880.2841601261.

The spelling of 682132374 in words is "six hundred eighty-two million, one hundred thirty-two thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 29 33 42 54 58 63 66 77 87 99 126 154 174 189 198 203 231 261 297 319 378 406 462 522 594 609 638 693 783 957 1218 1386 1566 1827 1914 2079 2233 2871 3654 4158 4466 5481 5657 5742 6699 8613 10962 11314 13398 16971 17226 20097 33942 39599 40194 50913 60291 62227 79198 101826 118797 120582 124454 152739 164053 186681 237594 305478 328106 356391 373362 435589 492159 560043 712782 871178 984318 1069173 1120086 1148371 1306767 1476477 1680129 1804583 2138346 2296742 2613534 2952954 3360258 3445113 3609166 3920301 4429431 5413749 6890226 7840602 8858862 10335339 10827498 11760903 12632081 16241247 20670678 23521806 25264162 31006017 32482494 37896243 48723741 62012034 75792486 97447482 113688729 227377458 341066187 682132374