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8113950 = 23252131973
BaseRepresentation
bin11110111100111100011110
3120021020020200
4132330330132
54034121300
6445524330
7125652555
oct36747436
916236220
108113950
114642149
1228736a6
1318b1270
141112d9c
15aa4200
hex7bcf1e

8113950 has 144 divisors (see below), whose sum is σ = 25050480. Its totient is φ = 1866240.

The previous prime is 8113927. The next prime is 8113961. The reversal of 8113950 is 593118.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111114 + ... + 111186.

Almost surely, 28113950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8113950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12525240).

8113950 is an abundant number, since it is smaller than the sum of its proper divisors (16936530).

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

8113950 is a wasteful number, since it uses less digits than its factorization.

8113950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 8113950 is about 2848.4996050553. The cubic root of 8113950 is about 200.9451101325.

It can be divided in two parts, 811 and 3950, that added together give a square (4761 = 692).

The spelling of 8113950 in words is "eight million, one hundred thirteen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 25 26 30 38 39 45 50 57 65 73 75 78 90 95 114 117 130 146 150 171 190 195 219 225 234 247 285 325 342 365 390 438 450 475 494 570 585 650 657 730 741 855 949 950 975 1095 1170 1235 1314 1387 1425 1482 1710 1825 1898 1950 2190 2223 2470 2774 2847 2850 2925 3285 3650 3705 4161 4275 4446 4745 5475 5694 5850 6175 6570 6935 7410 8322 8541 8550 9490 10950 11115 12350 12483 13870 14235 16425 17082 18031 18525 20805 22230 23725 24966 28470 32850 34675 36062 37050 41610 42705 47450 54093 55575 62415 69350 71175 85410 90155 104025 108186 111150 124830 142350 162279 180310 208050 213525 270465 312075 324558 427050 450775 540930 624150 811395 901550 1352325 1622790 2704650 4056975 8113950