Search a number
-
+
106294356 = 2234746867
BaseRepresentation
bin1100101010111…
…10110001010100
321102000022110000
412111132301110
5204202404411
614314131300
72430326040
oct625366124
9242008400
10106294356
1155000583
122b720b30
131903878c
141018d020
1594e9956
hex655ec54

106294356 has 60 divisors (see below), whose sum is σ = 317577568. Its totient is φ = 30369168.

The previous prime is 106294289. The next prime is 106294369. The reversal of 106294356 is 653492601.

It is a happy number.

106294356 is a `hidden beast` number, since 10 + 6 + 294 + 356 = 666.

It is a super-2 number, since 2×1062943562 = 22596980234909472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106294356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21166 + ... + 25701.

Almost surely, 2106294356 is an apocalyptic number.

It is an amenable number.

106294356 is an abundant number, since it is smaller than the sum of its proper divisors (211283212).

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

106294356 is a wasteful number, since it uses less digits than its factorization.

106294356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46890 (or 46879 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 106294356 is about 10309.9154215735. The cubic root of 106294356 is about 473.7000184900.

The spelling of 106294356 in words is "one hundred six million, two hundred ninety-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 46867 93734 140601 187468 281202 328069 421803 562404 656138 843606 984207 1265409 1312276 1687212 1968414 2530818 2952621 3796227 3936828 5061636 5905242 7592454 8857863 11810484 15184908 17715726 26573589 35431452 53147178 106294356