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29690112 = 28367577
BaseRepresentation
bin111000101000…
…0100100000000
32001212102011210
41301100210000
530100040422
62540210120
7510235044
oct161204400
961772153
1029690112
1115839691
129b39940
1361c6c1a
143d2c024
15291710c
hex1c50900

29690112 has 72 divisors (see below), whose sum is σ = 80337376. Its totient is φ = 9732096.

The previous prime is 29690107. The next prime is 29690117. The reversal of 29690112 is 21109692.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29690107) and next prime (29690117).

It is a self number, because there is not a number n which added to its sum of digits gives 29690112.

It is not an unprimeable number, because it can be changed into a prime (29690117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51168 + ... + 51744.

Almost surely, 229690112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29690112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40168688).

29690112 is an abundant number, since it is smaller than the sum of its proper divisors (50647264).

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

29690112 is an equidigital number, since it uses as much as digits as its factorization.

29690112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 29690112 is about 5448.8633677126. The cubic root of 29690112 is about 309.6496631933.

The spelling of 29690112 in words is "twenty-nine million, six hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 536 577 768 804 1072 1154 1608 1731 2144 2308 3216 3462 4288 4616 6432 6924 8576 9232 12864 13848 17152 18464 25728 27696 36928 38659 51456 55392 73856 77318 110784 115977 147712 154636 221568 231954 309272 443136 463908 618544 927816 1237088 1855632 2474176 3711264 4948352 7422528 9896704 14845056 29690112