Search a number
-
+
29693660 = 22531471019
BaseRepresentation
bin111000101000…
…1011011011100
32001212121001012
41301101123130
530100144120
62540234352
7510251303
oct161213334
961777035
1029693660
1115841317
129b3b9b8
1361c8719
143d2d43a
1529181c5
hex1c516dc

29693660 has 48 divisors (see below), whose sum is σ = 65802240. Its totient is φ = 11238720.

The previous prime is 29693633. The next prime is 29693681. The reversal of 29693660 is 6639692.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28631 + ... + 29649.

It is an arithmetic number, because the mean of its divisors is an integer number (1370880).

Almost surely, 229693660 is an apocalyptic number.

29693660 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 29693660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32901120).

29693660 is an abundant number, since it is smaller than the sum of its proper divisors (36108580).

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

29693660 is a wasteful number, since it uses less digits than its factorization.

29693660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 41.

The square root of 29693660 is about 5449.1889304740. The cubic root of 29693660 is about 309.6619971902.

The spelling of 29693660 in words is "twenty-nine million, six hundred ninety-three thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 31 47 62 94 124 155 188 235 310 470 620 940 1019 1457 2038 2914 4076 5095 5828 7285 10190 14570 20380 29140 31589 47893 63178 95786 126356 157945 191572 239465 315890 478930 631780 957860 1484683 2969366 5938732 7423415 14846830 29693660