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21374144 = 261197313
BaseRepresentation
bin101000110001…
…0010011000000
31111012220210222
41101202103000
520432433034
62042042212
7346451201
oct121422300
944186728
1021374144
1111079790
1271a9368
134574a2c
142ba55a8
151d2312e
hex14624c0

21374144 has 56 divisors (see below), whose sum is σ = 46896528. Its totient is φ = 9584640.

The previous prime is 21374113. The next prime is 21374147. The reversal of 21374144 is 44147312.

It is a super-3 number, since 3×213741443 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21374147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68132 + ... + 68444.

It is an arithmetic number, because the mean of its divisors is an integer number (837438).

Almost surely, 221374144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23448264).

21374144 is an abundant number, since it is smaller than the sum of its proper divisors (25522384).

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

21374144 is a wasteful number, since it uses less digits than its factorization.

21374144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 423 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 21374144 is about 4623.2179269422. The cubic root of 21374144 is about 277.5212504355.

The spelling of 21374144 in words is "twenty-one million, three hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 176 194 313 352 388 626 704 776 1067 1252 1552 2134 2504 3104 3443 4268 5008 6208 6886 8536 10016 13772 17072 20032 27544 30361 34144 55088 60722 68288 110176 121444 220352 242888 333971 485776 667942 971552 1335884 1943104 2671768 5343536 10687072 21374144