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153316530 = 233537103149
BaseRepresentation
bin10010010001101…
…10110010110010
3101200111021202000
421020312302302
5303222112110
623114034430
73541111653
oct1110666262
9350437660
10153316530
11795a7a84
1243418a16
13259c0653
141650d52a
15d6d71c0
hex9236cb2

153316530 has 128 divisors (see below), whose sum is σ = 426816000. Its totient is φ = 39128832.

The previous prime is 153316519. The next prime is 153316531. The reversal of 153316530 is 35613351.

153316530 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 1 + 653 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 153316494 and 153316503.

It is not an unprimeable number, because it can be changed into a prime (153316531) 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 63 ways as a sum of consecutive naturals, for example, 1028896 + ... + 1029044.

It is an arithmetic number, because the mean of its divisors is an integer number (3334500).

Almost surely, 2153316530 is an apocalyptic number.

153316530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153316530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213408000).

153316530 is an abundant number, since it is smaller than the sum of its proper divisors (273499470).

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

153316530 is a wasteful number, since it uses less digits than its factorization.

153316530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 153316530 is about 12382.1052329561. The cubic root of 153316530 is about 535.2167055253.

Adding to 153316530 its reverse (35613351), we get a palindrome (188929881).

The spelling of 153316530 in words is "one hundred fifty-three million, three hundred sixteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 103 111 135 149 185 206 222 270 298 309 333 370 447 515 555 618 666 745 894 927 999 1030 1110 1341 1490 1545 1665 1854 1998 2235 2682 2781 3090 3330 3811 4023 4470 4635 4995 5513 5562 6705 7622 8046 9270 9990 11026 11433 13410 13905 15347 16539 19055 20115 22866 27565 27810 30694 33078 34299 38110 40230 46041 49617 55130 57165 68598 76735 82695 92082 99234 102897 114330 138123 148851 153470 165390 171495 205794 230205 248085 276246 297702 342990 414369 460410 496170 514485 567839 690615 744255 828738 1028970 1135678 1381230 1488510 1703517 2071845 2839195 3407034 4143690 5110551 5678390 8517585 10221102 15331653 17035170 25552755 30663306 51105510 76658265 153316530