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12142620 = 22325723419
BaseRepresentation
bin101110010100…
…100000011100
3211211220112200
4232110200130
511102030440
61112131500
7205132140
oct56244034
924756480
1012142620
116943a26
124096b90
132691ba9
141881220
1510ecc30
hexb9481c

12142620 has 144 divisors (see below), whose sum is σ = 44029440. Its totient is φ = 2648448.

The previous prime is 12142609. The next prime is 12142621. The reversal of 12142620 is 2624121.

12142620 is a `hidden beast` number, since 1 + 2 + 1 + 42 + 620 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12142593 and 12142602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12142621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28771 + ... + 29189.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 212142620 is an apocalyptic number.

12142620 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 12142620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720).

12142620 is an abundant number, since it is smaller than the sum of its proper divisors (31886820).

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

12142620 is a wasteful number, since it uses less digits than its factorization.

12142620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12142620 is about 3484.6262353372. The cubic root of 12142620 is about 229.8462740882.

Adding to 12142620 its reverse (2624121), we get a palindrome (14766741).

The spelling of 12142620 in words is "twelve million, one hundred forty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 419 420 460 483 630 644 690 805 828 838 966 1035 1257 1260 1380 1449 1610 1676 1932 2070 2095 2415 2514 2898 2933 3220 3771 4140 4190 4830 5028 5796 5866 6285 7245 7542 8380 8799 9637 9660 11732 12570 14490 14665 15084 17598 18855 19274 25140 26397 28911 28980 29330 35196 37710 38548 43995 48185 52794 57822 58660 67459 75420 86733 87990 96370 105588 115644 131985 134918 144555 173466 175980 192740 202377 263970 269836 289110 337295 346932 404754 433665 527940 578220 607131 674590 809508 867330 1011885 1214262 1349180 1734660 2023770 2428524 3035655 4047540 6071310 12142620