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5680206900 = 22325223112731
BaseRepresentation
bin1010100101001000…
…10001010000110100
3112122212022102000100
411102210101100310
543113113110100
62335350314100
7260521650654
oct52244212064
915585272010
105680206900
112455368575
121126358930
136c6a5aa94
143bc566364
15233a19400
hex152911434

5680206900 has 108 divisors (see below), whose sum is σ = 17818519264. Its totient is φ = 1513512000.

The previous prime is 5680206899. The next prime is 5680206907. The reversal of 5680206900 is 96020865.

5680206900 is a `hidden beast` number, since 568 + 0 + 2 + 0 + 6 + 90 + 0 = 666.

It is a super-2 number, since 2×56802069002 = 64529500853615220000, which contains 22 as substring.

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 (5680206907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2078535 + ... + 2081265.

Almost surely, 25680206900 is an apocalyptic number.

5680206900 is a gapful number since it is divisible by the number (50) 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 5680206900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8909259632).

5680206900 is an abundant number, since it is smaller than the sum of its proper divisors (12138312364).

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

5680206900 is a wasteful number, since it uses less digits than its factorization.

5680206900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5062 (or 5052 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5680206900 is about 75367.1473521454. The cubic root of 5680206900 is about 1784.2459447130.

The spelling of 5680206900 in words is "five billion, six hundred eighty million, two hundred six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2311 2731 4622 5462 6933 8193 9244 10924 11555 13655 13866 16386 20799 23110 24579 27310 27732 32772 34665 40965 41598 46220 49158 54620 57775 68275 69330 81930 83196 98316 103995 115550 122895 136550 138660 163860 173325 204825 207990 231100 245790 273100 346650 409650 415980 491580 519975 614475 693300 819300 1039950 1228950 2079900 2457900 6311341 12622682 18934023 25245364 31556705 37868046 56802069 63113410 75736092 94670115 113604138 126226820 157783525 189340230 227208276 284010345 315567050 378680460 473350575 568020690 631134100 946701150 1136041380 1420051725 1893402300 2840103450 5680206900