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103526416 = 2472132049
BaseRepresentation
bin1100010101110…
…11000000010000
321012210200112201
412022323000100
5203000321131
614134532544
72364650200
oct612730020
9235720481
10103526416
115348aa24
122a807154
13185a9946
14da6c400
15914e761
hex62bb010

103526416 has 30 divisors (see below), whose sum is σ = 233332350. Its totient is φ = 44368128.

The previous prime is 103526411. The next prime is 103526429. The reversal of 103526416 is 614625301.

It can be written as a sum of positive squares in only one way, i.e., 92236816 + 11289600 = 9604^2 + 3360^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (103526411) 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, 65241 + ... + 66808.

It is an arithmetic number, because the mean of its divisors is an integer number (7777745).

Almost surely, 2103526416 is an apocalyptic number.

103526416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103526416 is an abundant number, since it is smaller than the sum of its proper divisors (129805934).

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

103526416 is a wasteful number, since it uses less digits than its factorization.

103526416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132071 (or 132058 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 103526416 is about 10174.7931674310. The cubic root of 103526416 is about 469.5520343151.

The spelling of 103526416 in words is "one hundred three million, five hundred twenty-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 132049 264098 528196 924343 1056392 1848686 2112784 3697372 6470401 7394744 12940802 14789488 25881604 51763208 103526416