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29688714 = 23311151331
BaseRepresentation
bin111000101000…
…0001110001010
32001212100021000
41301100032022
530100014324
62540155430
7510231006
oct161201612
961770230
1029688714
1115838630
129b38b76
1361c63b3
143d2b706
1529169c9
hex1c5038a

29688714 has 64 divisors (see below), whose sum is σ = 72668160. Its totient is φ = 8910000.

The previous prime is 29688707. The next prime is 29688719. The reversal of 29688714 is 41788692.

Its product of digits (193536) is a multiple of the sum of its prime factors (504).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 29688714.

It is not an unprimeable number, because it can be changed into a prime (29688719) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89529 + ... + 89859.

It is an arithmetic number, because the mean of its divisors is an integer number (1135440).

Almost surely, 229688714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29688714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36334080).

29688714 is an abundant number, since it is smaller than the sum of its proper divisors (42979446).

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

29688714 is a wasteful number, since it uses less digits than its factorization.

29688714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 29688714 is about 5448.7350825673. The cubic root of 29688714 is about 309.6448030228.

The spelling of 29688714 in words is "twenty-nine million, six hundred eighty-eight thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 151 198 297 302 331 453 594 662 906 993 1359 1661 1986 2718 2979 3322 3641 4077 4983 5958 7282 8154 8937 9966 10923 14949 17874 21846 29898 32769 44847 49981 65538 89694 98307 99962 149943 196614 299886 449829 549791 899658 1099582 1349487 1649373 2698974 3298746 4948119 9896238 14844357 29688714