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7113960 = 233357941
BaseRepresentation
bin11011001000110011101000
3111101102112000
4123020303220
53310121320
6412251000
7114316260
oct33106350
914342460
107113960
114019907
122470a60
131621059
14d327a0
15957c90
hex6c8ce8

7113960 has 128 divisors (see below), whose sum is σ = 27129600. Its totient is φ = 1624320.

The previous prime is 7113943. The next prime is 7113983. The reversal of 7113960 is 693117.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7090 + ... + 8030.

It is an arithmetic number, because the mean of its divisors is an integer number (211950).

Almost surely, 27113960 is an apocalyptic number.

7113960 is a gapful number since it is divisible by the number (70) 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 7113960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13564800).

7113960 is an abundant number, since it is smaller than the sum of its proper divisors (20015640).

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

7113960 is a wasteful number, since it uses less digits than its factorization.

7113960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 7113960 is about 2667.2007798439. The cubic root of 7113960 is about 192.3256193339.

The spelling of 7113960 in words is "seven million, one hundred thirteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 941 945 1080 1260 1512 1882 1890 2520 2823 3764 3780 4705 5646 6587 7528 7560 8469 9410 11292 13174 14115 16938 18820 19761 22584 25407 26348 28230 32935 33876 37640 39522 42345 50814 52696 56460 59283 65870 67752 79044 84690 98805 101628 112920 118566 127035 131740 158088 169380 177849 197610 203256 237132 254070 263480 296415 338760 355698 395220 474264 508140 592830 711396 790440 889245 1016280 1185660 1422792 1778490 2371320 3556980 7113960