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29310930 = 23351171139
BaseRepresentation
bin110111111001…
…1111111010010
32001011011001000
41233303333102
530000422210
62524122430
7504065415
oct157637722
961134030
1029310930
11155aa810
129996416
1360c345c
143c6db7c
15288eac0
hex1bf3fd2

29310930 has 128 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 6955200.

The previous prime is 29310929. The next prime is 29310937. The reversal of 29310930 is 3901392.

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 = 29310894 and 29310903.

It is not an unprimeable number, because it can be changed into a prime (29310937) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210801 + ... + 210939.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 229310930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29310930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

29310930 is an abundant number, since it is smaller than the sum of its proper divisors (57780270).

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

29310930 is a wasteful number, since it uses less digits than its factorization.

29310930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 29310930 is about 5413.9569632571. The cubic root of 29310930 is about 308.3257993452.

The spelling of 29310930 in words is "twenty-nine million, three hundred ten thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 71 90 99 110 135 139 142 165 198 213 270 278 297 330 355 417 426 495 594 639 695 710 781 834 990 1065 1251 1278 1390 1485 1529 1562 1917 2085 2130 2343 2502 2970 3058 3195 3753 3834 3905 4170 4587 4686 6255 6390 7029 7506 7645 7810 9174 9585 9869 11715 12510 13761 14058 15290 18765 19170 19738 21087 22935 23430 27522 29607 35145 37530 41283 42174 45870 49345 59214 68805 70290 82566 88821 98690 105435 108559 137610 148035 177642 206415 210870 217118 266463 296070 325677 412830 444105 532926 542795 651354 888210 977031 1085590 1332315 1628385 1954062 2664630 2931093 3256770 4885155 5862186 9770310 14655465 29310930