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103846428 = 22337137363
BaseRepresentation
bin1100011000010…
…01001000011100
321020101221112000
412030021020130
5203041041203
614145442300
72400452160
oct614111034
9236357460
10103846428
11536893a4
122a940390
131868c4ba
14db12ca0
1591b44a3
hex630921c

103846428 has 48 divisors (see below), whose sum is σ = 307695360. Its totient is φ = 29670192.

The previous prime is 103846427. The next prime is 103846439. The reversal of 103846428 is 824648301.

103846428 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 4 + 642 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103846392 and 103846401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103846427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67926 + ... + 69437.

It is an arithmetic number, because the mean of its divisors is an integer number (6410320).

Almost surely, 2103846428 is an apocalyptic number.

103846428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103846428 is an abundant number, since it is smaller than the sum of its proper divisors (203848932).

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

103846428 is a wasteful number, since it uses less digits than its factorization.

103846428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137383 (or 137375 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 103846428 is about 10190.5067587436. The cubic root of 103846428 is about 470.0353496877.

The spelling of 103846428 in words is "one hundred three million, eight hundred forty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 137363 274726 412089 549452 824178 961541 1236267 1648356 1923082 2472534 2884623 3708801 3846164 4945068 5769246 7417602 8653869 11538492 14835204 17307738 25961607 34615476 51923214 103846428