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10183140 = 223251137139
BaseRepresentation
bin100110110110…
…000111100100
3201011100122100
4212312013210
510101330030
61002132100
7152361312
oct46660744
921140570
1010183140
115825820
1234b1030
132157036
1414d10b2
15d62360
hex9b61e4

10183140 has 144 divisors (see below), whose sum is σ = 34856640. Its totient is φ = 2384640.

The previous prime is 10183081. The next prime is 10183141. The reversal of 10183140 is 4138101.

10183140 = T100 + T101 + ... + T395.

10183140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10183141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73191 + ... + 73329.

It is an arithmetic number, because the mean of its divisors is an integer number (242060).

Almost surely, 210183140 is an apocalyptic number.

10183140 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 10183140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428320).

10183140 is an abundant number, since it is smaller than the sum of its proper divisors (24673500).

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

10183140 is a wasteful number, since it uses less digits than its factorization.

10183140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10183140 is about 3191.1032574958. The cubic root of 10183140 is about 216.7507313505.

The spelling of 10183140 in words is "ten million, one hundred eighty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 139 148 165 180 185 198 220 222 278 330 333 370 396 407 417 444 495 555 556 660 666 695 740 814 834 990 1110 1221 1251 1332 1390 1529 1628 1665 1668 1980 2035 2085 2220 2442 2502 2780 3058 3330 3663 4070 4170 4587 4884 5004 5143 6105 6116 6255 6660 7326 7645 8140 8340 9174 10286 12210 12510 13761 14652 15290 15429 18315 18348 20572 22935 24420 25020 25715 27522 30580 30858 36630 45870 46287 51430 55044 56573 61716 68805 73260 77145 91740 92574 102860 113146 137610 154290 169719 185148 226292 231435 275220 282865 308580 339438 462870 509157 565730 678876 848595 925740 1018314 1131460 1697190 2036628 2545785 3394380 5091570 10183140