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29859420 = 22351074651
BaseRepresentation
bin111000111100…
…1111001011100
32002012000102110
41301321321130
530121000140
62543554020
7511541463
oct161717134
962160373
1029859420
1115944908
129bbb910
136255cc6
143d739da
15294c380
hex1c79e5c

29859420 has 48 divisors (see below), whose sum is σ = 84405888. Its totient is φ = 7886400.

The previous prime is 29859419. The next prime is 29859437. The reversal of 29859420 is 2495892.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4095 + ... + 8745.

It is an arithmetic number, because the mean of its divisors is an integer number (1758456).

Almost surely, 229859420 is an apocalyptic number.

29859420 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 29859420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42202944).

29859420 is an abundant number, since it is smaller than the sum of its proper divisors (54546468).

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

29859420 is a wasteful number, since it uses less digits than its factorization.

29859420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4770 (or 4768 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 29859420 is about 5464.3773661781. The cubic root of 29859420 is about 310.2371407819.

The spelling of 29859420 in words is "twenty-nine million, eight hundred fifty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 4651 6420 9302 13953 18604 23255 27906 46510 55812 69765 93020 139530 279060 497657 995314 1492971 1990628 2488285 2985942 4976570 5971884 7464855 9953140 14929710 29859420