Search a number
-
+
967490104 = 237210922643
BaseRepresentation
bin111001101010101…
…011101000111000
32111102111120220211
4321222223220320
53440134140404
6240000400504
732655346600
oct7152535070
92442446824
10967490104
114571396a9
12230016134
13125596969
14926c7c00
1559e0db04
hex39aaba38

967490104 has 48 divisors (see below), whose sum is σ = 2129668200. Its totient is φ = 410816448.

The previous prime is 967490087. The next prime is 967490107. The reversal of 967490104 is 401094769.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967490107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31407 + ... + 54049.

Almost surely, 2967490104 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 967490104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064834100).

967490104 is an abundant number, since it is smaller than the sum of its proper divisors (1162178096).

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

967490104 is a wasteful number, since it uses less digits than its factorization.

967490104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22772 (or 22761 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 967490104 is about 31104.5029537525. The cubic root of 967490104 is about 989.0437673582.

The spelling of 967490104 in words is "nine hundred sixty-seven million, four hundred ninety thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 109 196 218 392 436 763 872 1526 3052 5341 6104 10682 21364 22643 42728 45286 90572 158501 181144 317002 634004 1109507 1268008 2219014 2468087 4438028 4936174 8876056 9872348 17276609 19744696 34553218 69106436 120936263 138212872 241872526 483745052 967490104