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29000790 = 23257133541
BaseRepresentation
bin110111010100…
…0010001010110
32000120101121100
41232220101112
524411011130
62513330530
7501334260
oct156502126
960511540
1029000790
11154087a5
129866a46
136015240
143bccb30
15282cc60
hex1ba8456

29000790 has 96 divisors (see below), whose sum is σ = 92828736. Its totient is φ = 6117120.

The previous prime is 29000771. The next prime is 29000809. The reversal of 29000790 is 9700092.

It is an interprime number because it is at equal distance from previous prime (29000771) and next prime (29000809).

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, 6420 + ... + 9960.

It is an arithmetic number, because the mean of its divisors is an integer number (966966).

Almost surely, 229000790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29000790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46414368).

29000790 is an abundant number, since it is smaller than the sum of its proper divisors (63827946).

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

29000790 is a wasteful number, since it uses less digits than its factorization.

29000790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3574 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 29000790 is about 5385.2381562936. The cubic root of 29000790 is about 307.2344723482.

The spelling of 29000790 in words is "twenty-nine million, seven hundred ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 3541 4095 7082 8190 10623 17705 21246 24787 31869 35410 46033 49574 53115 63738 74361 92066 106230 123935 138099 148722 159345 223083 230165 247870 276198 318690 322231 371805 414297 446166 460330 644462 690495 743610 828594 966693 1115415 1380990 1611155 1933386 2071485 2230830 2900079 3222310 4142970 4833465 5800158 9666930 14500395 29000790