Search a number
-
+
112793040 = 2433579661
BaseRepresentation
bin1101011100100…
…01010111010000
321212020110222000
412232101113100
5212333334130
615105314000
72536503453
oct656212720
9255213860
10112793040
115873a098
1231935900
131a4a2759
1410da149a
159d80260
hex6b915d0

112793040 has 160 divisors (see below), whose sum is σ = 394022400. Its totient is φ = 29652480.

The previous prime is 112793033. The next prime is 112793047. The reversal of 112793040 is 40397211.

It is an interprime number because it is at equal distance from previous prime (112793033) and next prime (112793047).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112792995 and 112793013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112793047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 170310 + ... + 170970.

It is an arithmetic number, because the mean of its divisors is an integer number (2462640).

Almost surely, 2112793040 is an apocalyptic number.

112793040 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 112793040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197011200).

112793040 is an abundant number, since it is smaller than the sum of its proper divisors (281229360).

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

112793040 is a wasteful number, since it uses less digits than its factorization.

112793040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 112793040 is about 10620.4067718708. The cubic root of 112793040 is about 483.1634800184.

The spelling of 112793040 in words is "one hundred twelve million, seven hundred ninety-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 79 80 90 108 120 135 144 158 180 216 237 240 270 316 360 395 432 474 540 632 661 711 720 790 948 1080 1185 1264 1322 1422 1580 1896 1983 2133 2160 2370 2644 2844 3160 3305 3555 3792 3966 4266 4740 5288 5688 5949 6320 6610 7110 7932 8532 9480 9915 10576 10665 11376 11898 13220 14220 15864 17064 17847 18960 19830 21330 23796 26440 28440 29745 31728 34128 35694 39660 42660 47592 52219 52880 56880 59490 71388 79320 85320 89235 95184 104438 118980 142776 156657 158640 170640 178470 208876 237960 261095 285552 313314 356940 417752 469971 475920 522190 626628 713880 783285 835504 939942 1044380 1253256 1409913 1427760 1566570 1879884 2088760 2349855 2506512 2819826 3133140 3759768 4177520 4699710 5639652 6266280 7049565 7519536 9399420 11279304 12532560 14099130 18798840 22558608 28198260 37597680 56396520 112793040