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12140700 = 223521113283
BaseRepresentation
bin101110010100…
…000010011100
3211211210220120
4232110002130
511102000300
61112114540
7205123425
oct56240234
924753816
1012140700
116942540
124095a50
132691060
14188064c
1510ec3a0
hexb9409c

12140700 has 144 divisors (see below), whose sum is σ = 41414016. Its totient is φ = 2707200.

The previous prime is 12140693. The next prime is 12140731. The reversal of 12140700 is 704121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12140700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42759 + ... + 43041.

Almost surely, 212140700 is an apocalyptic number.

12140700 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 12140700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20707008).

12140700 is an abundant number, since it is smaller than the sum of its proper divisors (29273316).

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

12140700 is a wasteful number, since it uses less digits than its factorization.

12140700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 12140700 is about 3484.3507286150. The cubic root of 12140700 is about 229.8341589623.

Adding to 12140700 its reverse (704121), we get a palindrome (12844821).

The spelling of 12140700 in words is "twelve million, one hundred forty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 283 286 300 325 330 390 429 550 566 572 650 660 715 780 825 849 858 975 1100 1132 1300 1415 1430 1650 1698 1716 1950 2145 2830 2860 3113 3300 3396 3575 3679 3900 4245 4290 5660 6226 7075 7150 7358 8490 8580 9339 10725 11037 12452 14150 14300 14716 15565 16980 18395 18678 21225 21450 22074 28300 31130 36790 37356 40469 42450 42900 44148 46695 55185 62260 73580 77825 80938 84900 91975 93390 110370 121407 155650 161876 183950 186780 202345 220740 233475 242814 275925 311300 367900 404690 466950 485628 551850 607035 809380 933900 1011725 1103700 1214070 2023450 2428140 3035175 4046900 6070350 12140700