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10095540 = 2235713432
BaseRepresentation
bin100110100000…
…101110110100
3200222220110220
4212200232310
510041024130
61000214340
7151545030
oct46405664
920886426
1010095540
115775a24
12346a3b0
1321261c0
1414ab1c0
15d46410
hex9a0bb4

10095540 has 144 divisors (see below), whose sum is σ = 35618688. Its totient is φ = 2080512.

The previous prime is 10095529. The next prime is 10095541. The reversal of 10095540 is 4559001.

It is a self number, because there is not a number n which added to its sum of digits gives 10095540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10095541) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 234759 + ... + 234801.

It is an arithmetic number, because the mean of its divisors is an integer number (247352).

Almost surely, 210095540 is an apocalyptic number.

10095540 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 10095540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17809344).

10095540 is an abundant number, since it is smaller than the sum of its proper divisors (25523148).

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

10095540 is a wasteful number, since it uses less digits than its factorization.

10095540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 10095540 is about 3177.3479507287. The cubic root of 10095540 is about 216.1274111123.

The spelling of 10095540 in words is "ten million, ninety-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 43 52 60 65 70 78 84 86 91 105 129 130 140 156 172 182 195 210 215 258 260 273 301 364 390 420 430 455 516 546 559 602 645 780 860 903 910 1092 1118 1204 1290 1365 1505 1677 1806 1820 1849 2236 2580 2730 2795 3010 3354 3612 3698 3913 4515 5460 5547 5590 6020 6708 7396 7826 8385 9030 9245 11094 11180 11739 12943 15652 16770 18060 18490 19565 22188 23478 24037 25886 27735 33540 36980 38829 39130 46956 48074 51772 55470 58695 64715 72111 77658 78260 96148 110940 117390 120185 129430 144222 155316 168259 194145 234780 240370 258860 288444 336518 360555 388290 480740 504777 673036 721110 776580 841295 1009554 1442220 1682590 2019108 2523885 3365180 5047770 10095540