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10140060 = 2235723449
BaseRepresentation
bin100110101011…
…100110011100
3201002011112210
4212223212130
510043440220
61001200420
7152121600
oct46534634
921064483
1010140060
1157a6417
123490110
132140548
1414bd500
15d546e0
hex9ab99c

10140060 has 72 divisors (see below), whose sum is σ = 33037200. Its totient is φ = 2317056.

The previous prime is 10140059. The next prime is 10140071. The reversal of 10140060 is 6004101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1216 + ... + 4664.

It is an arithmetic number, because the mean of its divisors is an integer number (458850).

Almost surely, 210140060 is an apocalyptic number.

10140060 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 10140060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16518600).

10140060 is an abundant number, since it is smaller than the sum of its proper divisors (22897140).

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

10140060 is a wasteful number, since it uses less digits than its factorization.

10140060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10140060 is about 3184.3460867186. The cubic root of 10140060 is about 216.4446430446. Note that the first 3 decimals are identical.

Adding to 10140060 its reverse (6004101), we get a palindrome (16144161).

The spelling of 10140060 in words is "ten million, one hundred forty thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 3449 6898 10347 13796 17245 20694 24143 34490 41388 48286 51735 68980 72429 96572 103470 120715 144858 169001 206940 241430 289716 338002 362145 482860 507003 676004 724290 845005 1014006 1448580 1690010 2028012 2535015 3380020 5070030 10140060