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11403828 = 223461577
BaseRepresentation
bin101011100000…
…001000110100
3210110101010000
4223200020310
510404410303
61044231300
7165634212
oct53401064
923411100
1011403828
116489957
12399b530
132493837
14172bcb2
151003da3
hexae0234

11403828 has 60 divisors (see below), whose sum is σ = 30353092. Its totient is φ = 3732480.

The previous prime is 11403827. The next prime is 11403839. The reversal of 11403828 is 82830411.

It can be written as a sum of positive squares in 2 ways, for example, as 6260004 + 5143824 = 2502^2 + 2268^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11403827) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19476 + ... + 20052.

Almost surely, 211403828 is an apocalyptic number.

11403828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11403828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15176546).

11403828 is an abundant number, since it is smaller than the sum of its proper divisors (18949264).

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

11403828 is a wasteful number, since it uses less digits than its factorization.

11403828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 11403828 is about 3376.9554335229. The cubic root of 11403828 is about 225.0868997665.

The spelling of 11403828 in words is "eleven million, four hundred three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 549 577 732 1098 1154 1647 1731 2196 2308 3294 3462 4941 5193 6588 6924 9882 10386 15579 19764 20772 31158 35197 46737 62316 70394 93474 105591 140788 186948 211182 316773 422364 633546 950319 1267092 1900638 2850957 3801276 5701914 11403828