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106503048 = 23321479209
BaseRepresentation
bin1100101100100…
…01101110001000
321102101220201100
412112101232020
5204231044143
614322421400
72432155341
oct626215610
9242356640
10106503048
1155133353
122b801860
13190ac772
14102050c8
15953b6d3
hex6591b88

106503048 has 24 divisors (see below), whose sum is σ = 288445950. Its totient is φ = 35500992.

The previous prime is 106503029. The next prime is 106503049. The reversal of 106503048 is 840305601.

106503048 is a `hidden beast` number, since 1 + 0 + 650 + 3 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80676324 + 25826724 = 8982^2 + 5082^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1065030482 = 22685798466580608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106503049) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 739533 + ... + 739676.

Almost surely, 2106503048 is an apocalyptic number.

106503048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106503048 is an abundant number, since it is smaller than the sum of its proper divisors (181942902).

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

106503048 is a wasteful number, since it uses less digits than its factorization.

106503048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479221 (or 1479214 counting only the distinct ones).

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

The square root of 106503048 is about 10320.0313953011. The cubic root of 106503048 is about 474.0098272812.

Adding to 106503048 its reverse (840305601), we get a palindrome (946808649).

The spelling of 106503048 in words is "one hundred six million, five hundred three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1479209 2958418 4437627 5916836 8875254 11833672 13312881 17750508 26625762 35501016 53251524 106503048