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112010040 = 23345181191
BaseRepresentation
bin1101010110100…
…10001100111000
321210202200220000
412223102030320
5212133310130
615040433000
72530032612
oct653221470
9253680800
10112010040
115825488a
1231618760
131a28a23c
1410c39db2
159c78260
hex6ad2338

112010040 has 160 divisors (see below), whose sum is σ = 380540160. Its totient is φ = 29548800.

The previous prime is 112010029. The next prime is 112010051. The reversal of 112010040 is 40010211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112010029) and next prime (112010051).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 586345 + ... + 586535.

It is an arithmetic number, because the mean of its divisors is an integer number (2378376).

Almost surely, 2112010040 is an apocalyptic number.

112010040 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 112010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190270080).

112010040 is an abundant number, since it is smaller than the sum of its proper divisors (268530120).

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

112010040 is a wasteful number, since it uses less digits than its factorization.

112010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 112010040 is about 10583.4795790420. The cubic root of 112010040 is about 482.0428558739.

Adding to 112010040 its reverse (40010211), we get a palindrome (152020251).

The spelling of 112010040 in words is "one hundred twelve million, ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 181 191 216 270 324 360 362 382 405 540 543 573 648 724 764 810 905 955 1080 1086 1146 1448 1528 1620 1629 1719 1810 1910 2172 2292 2715 2865 3240 3258 3438 3620 3820 4344 4584 4887 5157 5430 5730 6516 6876 7240 7640 8145 8595 9774 10314 10860 11460 13032 13752 14661 15471 16290 17190 19548 20628 21720 22920 24435 25785 29322 30942 32580 34380 34571 39096 41256 48870 51570 58644 61884 65160 68760 69142 73305 77355 97740 103140 103713 117288 123768 138284 146610 154710 172855 195480 206280 207426 276568 293220 309420 311139 345710 414852 518565 586440 618840 622278 691420 829704 933417 1037130 1244556 1382840 1555695 1866834 2074260 2489112 2800251 3111390 3733668 4148520 4667085 5600502 6222780 7467336 9334170 11201004 12445560 14001255 18668340 22402008 28002510 37336680 56005020 112010040