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21419272 = 2372101541
BaseRepresentation
bin101000110110…
…1010100001000
31111022012201101
41101231110020
520440404042
62043031144
7350026600
oct121552410
944265641
1021419272
11110aa686
12720b4b4
13458c434
142bb7c00
151d316b7
hex146d508

21419272 has 48 divisors (see below), whose sum is σ = 47267820. Its totient is φ = 9072000.

The previous prime is 21419267. The next prime is 21419287. The reversal of 21419272 is 27291412.

It can be written as a sum of positive squares in 2 ways, for example, as 20196036 + 1223236 = 4494^2 + 1106^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 21419272.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39322 + ... + 39862.

Almost surely, 221419272 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 21419272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23633910).

21419272 is an abundant number, since it is smaller than the sum of its proper divisors (25848548).

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

21419272 is a wasteful number, since it uses less digits than its factorization.

21419272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 651 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 21419272 is about 4628.0959367757. The cubic root of 21419272 is about 277.7164266759.

The spelling of 21419272 in words is "twenty-one million, four hundred nineteen thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 196 202 392 404 541 707 808 1082 1414 2164 2828 3787 4328 4949 5656 7574 9898 15148 19796 26509 30296 39592 53018 54641 106036 109282 212072 218564 382487 437128 764974 1529948 2677409 3059896 5354818 10709636 21419272