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10482340 = 22511293153
BaseRepresentation
bin100111111111…
…001010100100
3201201120001211
4213333022210
510140413330
61012401204
7155045521
oct47771244
921646054
1010482340
115a0a5a0
123616204
13223028b
14156c148
15dc0d2a
hex9ff2a4

10482340 has 96 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 3494400.

The previous prime is 10482337. The next prime is 10482341. The reversal of 10482340 is 4328401.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10482341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197754 + ... + 197806.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 210482340 is an apocalyptic number.

10482340 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 10482340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

10482340 is an abundant number, since it is smaller than the sum of its proper divisors (15645020).

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

10482340 is a wasteful number, since it uses less digits than its factorization.

10482340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 10482340 is about 3237.6442052826. The cubic root of 10482340 is about 218.8531225351.

The spelling of 10482340 in words is "ten million, four hundred eighty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 31 44 53 55 58 62 106 110 116 124 145 155 212 220 265 290 310 319 341 530 580 583 620 638 682 899 1060 1166 1276 1364 1537 1595 1643 1705 1798 2332 2915 3074 3190 3286 3410 3596 4495 5830 6148 6380 6572 6820 7685 8215 8990 9889 11660 15370 16430 16907 17980 18073 19778 30740 32860 33814 36146 39556 47647 49445 67628 72292 84535 90365 95294 98890 169070 180730 190588 197780 238235 338140 361460 476470 524117 952940 1048234 2096468 2620585 5241170 10482340