Search a number
-
+
106252614 = 23313151357
BaseRepresentation
bin1100101010101…
…00100101000110
321101221012012000
412111110211012
5204200040424
614313210130
72430063246
oct625244506
9241835160
10106252614
1154a82186
122b700946
1319022790
141017bb26
1594dc3c9
hex6554946

106252614 has 32 divisors (see below), whose sum is σ = 254281440. Its totient is φ = 32692896.

The previous prime is 106252609. The next prime is 106252631. The reversal of 106252614 is 416252601.

106252614 is a `hidden beast` number, since 1 + 0 + 625 + 26 + 14 = 666.

It is a super-2 number, since 2×1062526142 = 22579235963665992, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74977 + ... + 76380.

It is an arithmetic number, because the mean of its divisors is an integer number (7946295).

Almost surely, 2106252614 is an apocalyptic number.

106252614 is an abundant number, since it is smaller than the sum of its proper divisors (148028826).

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

106252614 is a wasteful number, since it uses less digits than its factorization.

106252614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151381 (or 151375 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106252614 is about 10307.8908608890. The cubic root of 106252614 is about 473.6380027324.

The spelling of 106252614 in words is "one hundred six million, two hundred fifty-two thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 151357 302714 454071 908142 1362213 1967641 2724426 3935282 4086639 5902923 8173278 11805846 17708769 35417538 53126307 106252614