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681525720 = 233257192633
BaseRepresentation
bin101000100111110…
…100000111011000
31202111102002112100
4220213310013120
52343432310340
6151343243400
722613605311
oct5047640730
91674362470
10681525720
1131a7813a7
121702a9560
13ab271575
1466729608
153ec73830
hex289f41d8

681525720 has 96 divisors (see below), whose sum is σ = 2218881600. Its totient is φ = 181418496.

The previous prime is 681525703. The next prime is 681525721. The reversal of 681525720 is 27525186.

It is a happy number.

681525720 is a `hidden beast` number, since 6 + 81 + 5 + 2 + 572 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681525721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257524 + ... + 260156.

It is an arithmetic number, because the mean of its divisors is an integer number (23113350).

Almost surely, 2681525720 is an apocalyptic number.

681525720 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 681525720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109440800).

681525720 is an abundant number, since it is smaller than the sum of its proper divisors (1537355880).

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

681525720 is a wasteful number, since it uses less digits than its factorization.

681525720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 681525720 is about 26106.0475752267. The cubic root of 681525720 is about 880.0231226707.

The spelling of 681525720 in words is "six hundred eighty-one million, five hundred twenty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 719 1438 2157 2633 2876 3595 4314 5266 5752 6471 7190 7899 8628 10532 10785 12942 13165 14380 15798 17256 21064 21570 23697 25884 26330 28760 31596 32355 39495 43140 47394 51768 52660 63192 64710 78990 86280 94788 105320 118485 129420 157980 189576 236970 258840 315960 473940 947880 1893127 3786254 5679381 7572508 9465635 11358762 15145016 17038143 18931270 22717524 28396905 34076286 37862540 45435048 56793810 68152572 75725080 85190715 113587620 136305144 170381430 227175240 340762860 681525720