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10143540 = 223251147109
BaseRepresentation
bin100110101100…
…011100110100
3201002100022200
4212230130310
510044043130
61001224500
7152135001
oct46543464
921070280
1010143540
1157a8aa0
123492130
132141cc4
1414c08a8
15d55760
hex9ac734

10143540 has 144 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 2384640.

The previous prime is 10143517. The next prime is 10143547. The reversal of 10143540 is 4534101.

It is a happy number.

10143540 is digitally balanced in base 2 and base 4, 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10143547) 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, 93006 + ... + 93114.

It is an arithmetic number, because the mean of its divisors is an integer number (240240).

Almost surely, 210143540 is an apocalyptic number.

10143540 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 10143540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

10143540 is an abundant number, since it is smaller than the sum of its proper divisors (24451020).

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

10143540 is a wasteful number, since it uses less digits than its factorization.

10143540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10143540 is about 3184.8924628628. The cubic root of 10143540 is about 216.4694009917.

Adding to 10143540 its reverse (4534101), we get a palindrome (14677641).

It can be divided in two parts, 101435 and 40, that added together give a triangular number (101475 = T450).

The spelling of 10143540 in words is "ten million, one hundred forty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 47 55 60 66 90 94 99 109 110 132 141 165 180 188 198 218 220 235 282 327 330 396 423 436 470 495 517 545 564 654 660 705 846 940 981 990 1034 1090 1199 1308 1410 1551 1635 1692 1962 1980 2068 2115 2180 2398 2585 2820 3102 3270 3597 3924 4230 4653 4796 4905 5123 5170 5995 6204 6540 7194 7755 8460 9306 9810 10246 10340 10791 11990 14388 15369 15510 17985 18612 19620 20492 21582 23265 23980 25615 30738 31020 35970 43164 46107 46530 51230 53955 56353 61476 71940 76845 92214 93060 102460 107910 112706 153690 169059 184428 215820 225412 230535 281765 307380 338118 461070 507177 563530 676236 845295 922140 1014354 1127060 1690590 2028708 2535885 3381180 5071770 10143540