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1107414840 = 233571379623
BaseRepresentation
bin100001000000001…
…1100111100111000
32212011210111120110
41002000130330320
54231444233330
6301515424320
736304604460
oct10200347470
92764714513
101107414840
1151911a184
1226aa550a0
1314857896c
14a710cba0
156734cdb0
hex4201cf38

1107414840 has 128 divisors (see below), whose sum is σ = 3824962560. Its totient is φ = 251249664.

The previous prime is 1107414827. The next prime is 1107414853. The reversal of 1107414840 is 484147011.

1107414840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1107414827) and next prime (1107414853).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1107414798 and 1107414807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110269 + ... + 119891.

It is an arithmetic number, because the mean of its divisors is an integer number (29882520).

Almost surely, 21107414840 is an apocalyptic number.

1107414840 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 1107414840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912481280).

1107414840 is an abundant number, since it is smaller than the sum of its proper divisors (2717547720).

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

1107414840 is a wasteful number, since it uses less digits than its factorization.

1107414840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9781 (or 9777 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 1107414840 is about 33277.8430791420. The cubic root of 1107414840 is about 1034.5943753481.

The spelling of 1107414840 in words is "one billion, one hundred seven million, four hundred fourteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 137 140 168 210 274 280 411 420 548 685 822 840 959 1096 1370 1644 1918 2055 2740 2877 3288 3836 4110 4795 5480 5754 7672 8220 9590 9623 11508 14385 16440 19180 19246 23016 28770 28869 38360 38492 48115 57540 57738 67361 76984 96230 115080 115476 134722 144345 192460 202083 230952 269444 288690 336805 384920 404166 538888 577380 673610 808332 1010415 1154760 1318351 1347220 1616664 2020830 2636702 2694440 3955053 4041660 5273404 6591755 7910106 8083320 9228457 10546808 13183510 15820212 18456914 19775265 26367020 27685371 31640424 36913828 39550530 46142285 52734040 55370742 73827656 79101060 92284570 110741484 138426855 158202120 184569140 221482968 276853710 369138280 553707420 1107414840