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21400428 = 22371072381
BaseRepresentation
bin101000110100…
…0101101101100
31111021020212110
41101220231230
520434303203
62042404020
7346620630
oct121505554
944236773
1021400428
1111097505
127200610
13458399a
142bb0dc0
151d2ad03
hex1468b6c

21400428 has 48 divisors (see below), whose sum is σ = 57625344. Its totient is φ = 6054720.

The previous prime is 21400417. The next prime is 21400429. The reversal of 21400428 is 82400412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (21400429) 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, 7798 + ... + 10178.

It is an arithmetic number, because the mean of its divisors is an integer number (1200528).

Almost surely, 221400428 is an apocalyptic number.

21400428 is a gapful number since it is divisible by the number (28) 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 21400428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28812672).

21400428 is an abundant number, since it is smaller than the sum of its proper divisors (36224916).

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

21400428 is a wasteful number, since it uses less digits than its factorization.

21400428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 21400428 is about 4626.0596623909. The cubic root of 21400428 is about 277.6349607296.

The spelling of 21400428 in words is "twenty-one million, four hundred thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 642 749 1284 1498 2247 2381 2996 4494 4762 7143 8988 9524 14286 16667 28572 33334 50001 66668 100002 200004 254767 509534 764301 1019068 1528602 1783369 3057204 3566738 5350107 7133476 10700214 21400428