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680102112 = 25319571653
BaseRepresentation
bin101000100010011…
…000100011100000
31202101201202201010
4220202120203200
52343101231422
6151252540520
722565525664
oct5042304340
91671652633
10680102112
11319999868
1216b921740
13aab935b1
14664788a4
153ea91b0c
hex288988e0

680102112 has 96 divisors (see below), whose sum is σ = 1885403520. Its totient is φ = 214064640.

The previous prime is 680102107. The next prime is 680102123. The reversal of 680102112 is 211201086.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1041178 + ... + 1041830.

It is an arithmetic number, because the mean of its divisors is an integer number (19639620).

Almost surely, 2680102112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942701760).

680102112 is an abundant number, since it is smaller than the sum of its proper divisors (1205301408).

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

680102112 is a wasteful number, since it uses less digits than its factorization.

680102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 680102112 is about 26078.7674555375. The cubic root of 680102112 is about 879.4099488042.

Adding to 680102112 its reverse (211201086), we get a palindrome (891303198).

The spelling of 680102112 in words is "six hundred eighty million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 571 608 653 912 1142 1306 1713 1824 1959 2284 2612 3426 3918 4568 5224 6852 7836 9136 10448 10849 12407 13704 15672 18272 20896 21698 24814 27408 31344 32547 37221 43396 49628 54816 62688 65094 74442 86792 99256 130188 148884 173584 198512 260376 297768 347168 372863 397024 520752 595536 745726 1041504 1118589 1191072 1491452 2237178 2982904 4474356 5965808 7084397 8948712 11931616 14168794 17897424 21253191 28337588 35794848 42506382 56675176 85012764 113350352 170025528 226700704 340051056 680102112