Search a number
-
+
29190414 = 231129101151
BaseRepresentation
bin110111101011…
…0100100001110
32000221000201110
41233112210032
524433043124
62521352450
7503054151
oct157264416
960830643
1029190414
1115528210
129938726
136080646
143c3bc98
152869029
hex1bd690e

29190414 has 64 divisors (see below), whose sum is σ = 66977280. Its totient is φ = 8400000.

The previous prime is 29190409. The next prime is 29190433. The reversal of 29190414 is 41409192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193239 + ... + 193389.

It is an arithmetic number, because the mean of its divisors is an integer number (1046520).

Almost surely, 229190414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29190414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33488640).

29190414 is an abundant number, since it is smaller than the sum of its proper divisors (37786866).

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

29190414 is a wasteful number, since it uses less digits than its factorization.

29190414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 29190414 is about 5402.8153771899. The cubic root of 29190414 is about 307.9026439361.

The spelling of 29190414 in words is "twenty-nine million, one hundred ninety thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 101 151 174 202 302 303 319 453 606 638 906 957 1111 1661 1914 2222 2929 3322 3333 4379 4983 5858 6666 8758 8787 9966 13137 15251 17574 26274 30502 32219 45753 48169 64438 91506 96338 96657 144507 167761 193314 289014 335522 442279 503283 884558 1006566 1326837 2653674 4865069 9730138 14595207 29190414