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29688520 = 235742213
BaseRepresentation
bin111000101000…
…0001011001000
32001212022222211
41301100023020
530100013040
62540154504
7510230311
oct161201310
961768884
1029688520
1115838474
129b38a34
1361c6294
143d2b608
1529168ea
hex1c502c8

29688520 has 16 divisors (see below), whose sum is σ = 66799260. Its totient is φ = 11875392.

The previous prime is 29688497. The next prime is 29688521. The reversal of 29688520 is 2588692.

It can be written as a sum of positive squares in 2 ways, for example, as 27185796 + 2502724 = 5214^2 + 1582^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 742213 = 29688520 / (2 + 9 + 6 + 8 + 8 + 5 + 2 + 0).

It is not an unprimeable number, because it can be changed into a prime (29688521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 371067 + ... + 371146.

Almost surely, 229688520 is an apocalyptic number.

29688520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29688520 is an abundant number, since it is smaller than the sum of its proper divisors (37110740).

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

29688520 is a wasteful number, since it uses less digits than its factorization.

29688520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742224 (or 742220 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 29688520 is about 5448.7172802413. The cubic root of 29688520 is about 309.6441285664.

The spelling of 29688520 in words is "twenty-nine million, six hundred eighty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 742213 1484426 2968852 3711065 5937704 7422130 14844260 29688520