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12030040 = 23511191439
BaseRepresentation
bin101101111001…
…000001011000
3211122012010001
4231321001120
511034430130
61105502344
7204153001
oct55710130
924565101
1012030040
116877390
1240419b4
132652889
1418521a8
1510c96ca
hexb79058

12030040 has 64 divisors (see below), whose sum is σ = 31104000. Its totient is φ = 4141440.

The previous prime is 12030017. The next prime is 12030043. The reversal of 12030040 is 4003021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12029999 and 12030026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12030043) 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 15 ways as a sum of consecutive naturals, for example, 7641 + ... + 9079.

It is an arithmetic number, because the mean of its divisors is an integer number (486000).

Almost surely, 212030040 is an apocalyptic number.

12030040 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 12030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552000).

12030040 is an abundant number, since it is smaller than the sum of its proper divisors (19073960).

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

12030040 is a wasteful number, since it uses less digits than its factorization.

12030040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 12030040 is about 3468.4348054994. The cubic root of 12030040 is about 229.1337294077.

Adding to 12030040 its reverse (4003021), we get a palindrome (16033061).

The spelling of 12030040 in words is "twelve million, thirty thousand, forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1439 1672 2090 2878 4180 5756 7195 8360 11512 14390 15829 27341 28780 31658 54682 57560 63316 79145 109364 126632 136705 158290 218728 273410 300751 316580 546820 601502 633160 1093640 1203004 1503755 2406008 3007510 6015020 12030040