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29134620 = 22335163331
BaseRepresentation
bin110111100100…
…0111100011100
32000211012012000
41233020330130
524424301440
62520242300
7502432404
oct157107434
960735160
1029134620
111549a2a9
129910390
136061128
143c25804
152857730
hex1bc8f1c

29134620 has 96 divisors (see below), whose sum is σ = 91472640. Its totient is φ = 7698240.

The previous prime is 29134603. The next prime is 29134621. The reversal of 29134620 is 2643192.

29134620 is a `hidden beast` number, since 2 + 9 + 1 + 34 + 620 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29134621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87855 + ... + 88185.

It is an arithmetic number, because the mean of its divisors is an integer number (952840).

Almost surely, 229134620 is an apocalyptic number.

29134620 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 29134620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45736320).

29134620 is an abundant number, since it is smaller than the sum of its proper divisors (62338020).

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

29134620 is a wasteful number, since it uses less digits than its factorization.

29134620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 29134620 is about 5397.6494884348. The cubic root of 29134620 is about 307.7063457377.

The spelling of 29134620 in words is "twenty-nine million, one hundred thirty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 163 180 270 326 331 489 540 652 662 815 978 993 1324 1467 1630 1655 1956 1986 2445 2934 2979 3260 3310 3972 4401 4890 4965 5868 5958 6620 7335 8802 8937 9780 9930 11916 14670 14895 17604 17874 19860 22005 29340 29790 35748 44010 44685 53953 59580 88020 89370 107906 161859 178740 215812 269765 323718 485577 539530 647436 809295 971154 1079060 1456731 1618590 1942308 2427885 2913462 3237180 4855770 5826924 7283655 9711540 14567310 29134620