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29163540 = 22357233019
BaseRepresentation
bin110111101000…
…0000000010100
32000212122212010
41233100000110
524431213130
62521024220
7502612620
oct157200024
960778763
1029163540
1115509aaa
129925070
136071343
143c32180
1528610b0
hex1bd0014

29163540 has 96 divisors (see below), whose sum is σ = 97413120. Its totient is φ = 6374016.

The previous prime is 29163539. The next prime is 29163553. The reversal of 29163540 is 4536192.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 29163498 and 29163507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8151 + ... + 11169.

It is an arithmetic number, because the mean of its divisors is an integer number (1014720).

Almost surely, 229163540 is an apocalyptic number.

29163540 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 29163540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48706560).

29163540 is an abundant number, since it is smaller than the sum of its proper divisors (68249580).

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

29163540 is a wasteful number, since it uses less digits than its factorization.

29163540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 29163540 is about 5400.3277678304. The cubic root of 29163540 is about 307.8081252782.

The spelling of 29163540 in words is "twenty-nine million, one hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3019 3220 4830 6038 9057 9660 12076 15095 18114 21133 30190 36228 42266 45285 60380 63399 69437 84532 90570 105665 126798 138874 181140 208311 211330 253596 277748 316995 347185 416622 422660 486059 633990 694370 833244 972118 1041555 1267980 1388740 1458177 1944236 2083110 2430295 2916354 4166220 4860590 5832708 7290885 9721180 14581770 29163540