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12028140 = 22325193517
BaseRepresentation
bin101101111000…
…100011101100
3211122002111200
4231320203230
511034400030
61105445500
7204144315
oct55704354
924562450
1012028140
116875a13
124040890
132651a57
14185160c
1510c8d60
hexb788ec

12028140 has 72 divisors (see below), whose sum is σ = 38416560. Its totient is φ = 3037824.

The previous prime is 12028139. The next prime is 12028147. The reversal of 12028140 is 4182021.

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

It is not an unprimeable number, because it can be changed into a prime (12028147) by changing a digit.

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, 1662 + ... + 5178.

Almost surely, 212028140 is an apocalyptic number.

12028140 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 12028140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19208280).

12028140 is an abundant number, since it is smaller than the sum of its proper divisors (26388420).

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

12028140 is a wasteful number, since it uses less digits than its factorization.

12028140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3551 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12028140 is about 3468.1608959216. The cubic root of 12028140 is about 229.1216658012.

The spelling of 12028140 in words is "twelve million, twenty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 3517 7034 10551 14068 17585 21102 31653 35170 42204 52755 63306 66823 70340 105510 126612 133646 158265 200469 211020 267292 316530 334115 400938 601407 633060 668230 801876 1002345 1202814 1336460 2004690 2405628 3007035 4009380 6014070 12028140