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29500020 = 223251147317
BaseRepresentation
bin111000010001…
…0001001110100
32001111202102100
41300202021310
530023000040
62532142100
7505513614
oct160421164
961452370
1029500020
1115719890
129a67930
13615b544
143cbca44
1528cab30
hex1c22274

29500020 has 144 divisors (see below), whose sum is σ = 100009728. Its totient is φ = 6977280.

The previous prime is 29499991. The next prime is 29500043. The reversal of 29500020 is 2000592.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 29499966 and 29500002.

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, 92902 + ... + 93218.

It is an arithmetic number, because the mean of its divisors is an integer number (694512).

Almost surely, 229500020 is an apocalyptic number.

29500020 is a gapful number since it is divisible by the number (20) 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 29500020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50004864).

29500020 is an abundant number, since it is smaller than the sum of its proper divisors (70509708).

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

29500020 is a wasteful number, since it uses less digits than its factorization.

29500020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 29500020 is about 5431.3920867490. The cubic root of 29500020 is about 308.9874001209.

The spelling of 29500020 in words is "twenty-nine million, five hundred thousand, twenty".

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 99 110 132 141 165 180 188 198 220 235 282 317 330 396 423 470 495 517 564 634 660 705 846 940 951 990 1034 1268 1410 1551 1585 1692 1902 1980 2068 2115 2585 2820 2853 3102 3170 3487 3804 4230 4653 4755 5170 5706 6204 6340 6974 7755 8460 9306 9510 10340 10461 11412 13948 14265 14899 15510 17435 18612 19020 20922 23265 28530 29798 31020 31383 34870 41844 44697 46530 52305 57060 59596 62766 69740 74495 89394 93060 104610 125532 134091 148990 156915 163889 178788 209220 223485 268182 297980 313830 327778 446970 491667 536364 627660 655556 670455 819445 893940 983334 1340910 1475001 1638890 1966668 2458335 2681820 2950002 3277780 4916670 5900004 7375005 9833340 14750010 29500020