Search a number
-
+
106158024 = 23327210631
BaseRepresentation
bin1100101001111…
…01011111001000
321101202101102200
412110331133020
5204134024044
614311200200
72426220420
oct624753710
9241671380
10106158024
1154a18105
122b676060
1318cbb6cb
1410155480
1594be369
hex653d7c8

106158024 has 48 divisors (see below), whose sum is σ = 328585920. Its totient is φ = 30330720.

The previous prime is 106158023. The next prime is 106158119. The reversal of 106158024 is 420851601.

106158024 is a `hidden beast` number, since 1 + 0 + 61 + 580 + 24 = 666.

It is a super-2 number, since 2×1061580242 = 22539052119169152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106158023) 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, 104812 + ... + 105819.

It is an arithmetic number, because the mean of its divisors is an integer number (6845540).

Almost surely, 2106158024 is an apocalyptic number.

106158024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106158024 is an abundant number, since it is smaller than the sum of its proper divisors (222427896).

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

106158024 is a wasteful number, since it uses less digits than its factorization.

106158024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210650 (or 210643 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 106158024 is about 10303.3016067666. The cubic root of 106158024 is about 473.4974109916.

The spelling of 106158024 in words is "one hundred six million, one hundred fifty-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 210631 421262 631893 842524 1263786 1474417 1685048 1895679 2527572 2948834 3791358 4423251 5055144 5897668 7582716 8846502 11795336 13269753 15165432 17693004 26539506 35386008 53079012 106158024