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21371742 = 2337241197
BaseRepresentation
bin101000110000…
…1101101011110
31111012210112000
41101201231132
520432343432
62042023130
7346441200
oct121415536
944183460
1021371742
11110779a7
1271a7aa6
134573902
142ba4770
151d2257c
hex1461b5e

21371742 has 96 divisors (see below), whose sum is σ = 56881440. Its totient is φ = 5927040.

The previous prime is 21371717. The next prime is 21371759. The reversal of 21371742 is 24717312.

It is a happy number.

It is a super-2 number, since 2×213717422 = 913502712229128, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108388 + ... + 108584.

It is an arithmetic number, because the mean of its divisors is an integer number (592515).

Almost surely, 221371742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21371742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28440720).

21371742 is an abundant number, since it is smaller than the sum of its proper divisors (35509698).

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

21371742 is a wasteful number, since it uses less digits than its factorization.

21371742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 250 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 21371742 is about 4622.9581438728. The cubic root of 21371742 is about 277.5108542139.

The spelling of 21371742 in words is "twenty-one million, three hundred seventy-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 49 54 63 82 98 123 126 147 189 197 246 287 294 369 378 394 441 574 591 738 861 882 1107 1182 1323 1379 1722 1773 2009 2214 2583 2646 2758 3546 4018 4137 5166 5319 6027 7749 8077 8274 9653 10638 12054 12411 15498 16154 18081 19306 24231 24822 28959 36162 37233 48462 54243 56539 57918 72693 74466 86877 108486 113078 145386 169617 173754 218079 260631 339234 395773 436158 508851 521262 791546 1017702 1187319 1526553 2374638 3053106 3561957 7123914 10685871 21371742