Search a number
-
+
112828540 = 225113783167
BaseRepresentation
bin1101011100110…
…10000001111100
321212022021122211
412232122001330
5212341003130
615110150204
72540012116
oct656320174
9255267584
10112828540
1158763830
1231952364
131a4b5966
1410db03b6
159d8aa2a
hex6b9a07c

112828540 has 96 divisors (see below), whose sum is σ = 270273024. Its totient is φ = 39202560.

The previous prime is 112828523. The next prime is 112828549. The reversal of 112828540 is 45828211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112828549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 675537 + ... + 675703.

It is an arithmetic number, because the mean of its divisors is an integer number (2815344).

Almost surely, 2112828540 is an apocalyptic number.

112828540 is a gapful number since it is divisible by the number (10) 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 112828540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135136512).

112828540 is an abundant number, since it is smaller than the sum of its proper divisors (157444484).

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

112828540 is a wasteful number, since it uses less digits than its factorization.

112828540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 112828540 is about 10622.0779511355. The cubic root of 112828540 is about 483.2141643053.

The spelling of 112828540 in words is "one hundred twelve million, eight hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 83 110 148 166 167 185 220 332 334 370 407 415 668 740 814 830 835 913 1628 1660 1670 1826 1837 2035 3071 3340 3652 3674 4070 4565 6142 6179 7348 8140 9130 9185 12284 12358 13861 15355 18260 18370 24716 27722 30710 30895 33781 36740 55444 61420 61790 67562 67969 69305 123580 135124 135938 138610 152471 168905 271876 277220 304942 337810 339845 512857 609884 675620 679690 762355 1025714 1359380 1524710 2051428 2564285 3049420 5128570 5641427 10257140 11282854 22565708 28207135 56414270 112828540