Search a number
-
+
29663900 = 22527311367
BaseRepresentation
bin111000100101…
…0001010011100
32001211002012222
41301022022130
530043221100
62535444512
7510065450
oct161121234
961732188
1029663900
1115820a22
129b26738
1361b8006
143d22660
15290e485
hex1c4a29c

29663900 has 72 divisors (see below), whose sum is σ = 75995136. Its totient is φ = 9835200.

The previous prime is 29663891. The next prime is 29663903. The reversal of 29663900 is 936692.

It is a hoax number, since the sum of its digits (35) 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 (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29663903) 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 23 ways as a sum of consecutive naturals, for example, 21017 + ... + 22383.

It is an arithmetic number, because the mean of its divisors is an integer number (1055488).

Almost surely, 229663900 is an apocalyptic number.

29663900 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 29663900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37997568).

29663900 is an abundant number, since it is smaller than the sum of its proper divisors (46331236).

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

29663900 is a wasteful number, since it uses less digits than its factorization.

29663900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 35.

The square root of 29663900 is about 5446.4575643256. The cubic root of 29663900 is about 309.5585113343.

The spelling of 29663900 in words is "twenty-nine million, six hundred sixty-three thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 350 434 620 700 775 868 1085 1367 1550 2170 2734 3100 4340 5425 5468 6835 9569 10850 13670 19138 21700 27340 34175 38276 42377 47845 68350 84754 95690 136700 169508 191380 211885 239225 296639 423770 478450 593278 847540 956900 1059425 1186556 1483195 2118850 2966390 4237700 5932780 7415975 14831950 29663900