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2112730928 = 2471110116979
BaseRepresentation
bin111110111101101…
…1011011100110000
312110020110211222122
41331323123130300
513311324342203
6545351053412
7103232626250
oct17573333460
95406424878
102112730928
11994644020
124ab671268
13278927759
14160841960
15c572e538
hex7dedb730

2112730928 has 80 divisors (see below), whose sum is σ = 5154312960. Its totient is φ = 814944000.

The previous prime is 2112730909. The next prime is 2112730931. The reversal of 2112730928 is 8290372112.

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, 115943 + ... + 132921.

It is an arithmetic number, because the mean of its divisors is an integer number (64428912).

Almost surely, 22112730928 is an apocalyptic number.

2112730928 is a gapful number since it is divisible by the number (28) 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 2112730928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577156480).

2112730928 is an abundant number, since it is smaller than the sum of its proper divisors (3041582032).

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

2112730928 is a wasteful number, since it uses less digits than its factorization.

2112730928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17106 (or 17100 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 2112730928 is about 45964.4528739329. The cubic root of 2112730928 is about 1283.1617248167.

The spelling of 2112730928 in words is "two billion, one hundred twelve million, seven hundred thirty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 101 112 154 176 202 308 404 616 707 808 1111 1232 1414 1616 2222 2828 4444 5656 7777 8888 11312 15554 16979 17776 31108 33958 62216 67916 118853 124432 135832 186769 237706 271664 373538 475412 747076 950824 1307383 1494152 1714879 1901648 2614766 2988304 3429758 5229532 6859516 10459064 12004153 13719032 18863669 20918128 24008306 27438064 37727338 48016612 75454676 96033224 132045683 150909352 192066448 264091366 301818704 528182732 1056365464 2112730928