Search a number
-
+
106216040 = 2357379343
BaseRepresentation
bin1100101010010…
…11101001101000
321101212100000102
412111023221220
5204142403130
614312324532
72426551520
oct625135150
9241770012
10106216040
1154a57757
122b6a3748
131900bc38
141016c680
1594d1645
hex654ba68

106216040 has 32 divisors (see below), whose sum is σ = 273127680. Its totient is φ = 36416832.

The previous prime is 106216027. The next prime is 106216057. The reversal of 106216040 is 40612601.

It is a happy number.

It is a super-2 number, since 2×1062160402 = 22563694306563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189392 + ... + 189951.

It is an arithmetic number, because the mean of its divisors is an integer number (8535240).

Almost surely, 2106216040 is an apocalyptic number.

106216040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106216040 is an abundant number, since it is smaller than the sum of its proper divisors (166911640).

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

106216040 is a wasteful number, since it uses less digits than its factorization.

106216040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379361 (or 379357 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 106216040 is about 10306.1166304287. The cubic root of 106216040 is about 473.5836516796.

Adding to 106216040 its reverse (40612601), we get a palindrome (146828641).

It can be divided in two parts, 10621 and 6040, that added together give a palindrome (16661).

The spelling of 106216040 in words is "one hundred six million, two hundred sixteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 379343 758686 1517372 1896715 2655401 3034744 3793430 5310802 7586860 10621604 13277005 15173720 21243208 26554010 53108020 106216040