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12153540 = 22357191523
BaseRepresentation
bin101110010111…
…001011000100
3211212110112010
4232113023010
511102403130
61112254220
7205206030
oct56271304
924773463
1012153540
116951153
1240a1370
132696b59
1418851c0
1511010b0
hexb972c4

12153540 has 96 divisors (see below), whose sum is σ = 40965120. Its totient is φ = 2630016.

The previous prime is 12153517. The next prime is 12153541. The reversal of 12153540 is 4535121.

12153540 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

12153540 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (12153541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7219 + ... + 8741.

It is an arithmetic number, because the mean of its divisors is an integer number (426720).

Almost surely, 212153540 is an apocalyptic number.

12153540 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 12153540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482560).

12153540 is an abundant number, since it is smaller than the sum of its proper divisors (28811580).

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

12153540 is a wasteful number, since it uses less digits than its factorization.

12153540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 12153540 is about 3486.1927657546. The cubic root of 12153540 is about 229.9151545903.

Adding to 12153540 its reverse (4535121), we get a palindrome (16688661).

The spelling of 12153540 in words is "twelve million, one hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1523 1596 1995 2660 3046 3990 4569 6092 7615 7980 9138 10661 15230 18276 21322 22845 28937 30460 31983 42644 45690 53305 57874 63966 86811 91380 106610 115748 127932 144685 159915 173622 202559 213220 289370 319830 347244 405118 434055 578740 607677 639660 810236 868110 1012795 1215354 1736220 2025590 2430708 3038385 4051180 6076770 12153540