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29131540 = 22517471823
BaseRepresentation
bin110111100100…
…0001100010100
32000211000221221
41233020030110
524424202130
62520220124
7502420414
oct157101424
960730857
1029131540
1115497a59
12990a644
13605c8c9
143c24644
15285687a
hex1bc8314

29131540 has 48 divisors (see below), whose sum is σ = 66189312. Its totient is φ = 10727936.

The previous prime is 29131519. The next prime is 29131549. The reversal of 29131540 is 4513192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29131549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15069 + ... + 16891.

It is an arithmetic number, because the mean of its divisors is an integer number (1378944).

Almost surely, 229131540 is an apocalyptic number.

29131540 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 29131540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33094656).

29131540 is an abundant number, since it is smaller than the sum of its proper divisors (37057772).

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

29131540 is a wasteful number, since it uses less digits than its factorization.

29131540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 29131540 is about 5397.3641715193. The cubic root of 29131540 is about 307.6955021784.

The spelling of 29131540 in words is "twenty-nine million, one hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 170 188 235 340 470 799 940 1598 1823 3196 3646 3995 7292 7990 9115 15980 18230 30991 36460 61982 85681 123964 154955 171362 309910 342724 428405 619820 856810 1456577 1713620 2913154 5826308 7282885 14565770 29131540