Search a number
-
+
429110136 = 233471319383
BaseRepresentation
bin11001100100111…
…011001101111000
31002220110001110000
4121210323031320
51334323011021
6110325153000
713430242650
oct3144731570
91086401400
10429110136
11200248884
12bb85b760
136ab94530
1440dc1360
1527a13b26
hex1993b378

429110136 has 320 divisors, whose sum is σ = 1561190400. Its totient is φ = 106935552.

The previous prime is 429110119. The next prime is 429110137. The reversal of 429110136 is 631011924.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429110137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1120201 + ... + 1120583.

It is an arithmetic number, because the mean of its divisors is an integer number (4878720).

Almost surely, 2429110136 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 429110136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780595200).

429110136 is an abundant number, since it is smaller than the sum of its proper divisors (1132080264).

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

429110136 is a wasteful number, since it uses less digits than its factorization.

429110136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 429110136 is about 20714.9737146828. The cubic root of 429110136 is about 754.2632088179.

The spelling of 429110136 in words is "four hundred twenty-nine million, one hundred ten thousand, one hundred thirty-six".