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20237742 = 2337371447
BaseRepresentation
bin100110100110…
…0110110101110
31102002011222000
41031030312232
520140101432
62001433130
7334006110
oct115146656
942064860
1020237742
1110472a08
12693b7a6
1342676c5
14298b3b0
151b9b57c
hex134cdae

20237742 has 64 divisors (see below), whose sum is σ = 52823040. Its totient is φ = 5622048.

The previous prime is 20237741. The next prime is 20237743. The reversal of 20237742 is 24773202.

It is an interprime number because it is at equal distance from previous prime (20237741) and next prime (20237743).

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 (20237741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13263 + ... + 14709.

It is an arithmetic number, because the mean of its divisors is an integer number (825360).

Almost surely, 220237742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20237742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26411520).

20237742 is an abundant number, since it is smaller than the sum of its proper divisors (32585298).

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

20237742 is a wasteful number, since it uses less digits than its factorization.

20237742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 20237742 is about 4498.6377938216. The cubic root of 20237742 is about 272.5130796404.

The spelling of 20237742 in words is "twenty million, two hundred thirty-seven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 333 378 518 666 777 999 1447 1554 1998 2331 2894 4341 4662 6993 8682 10129 13023 13986 20258 26046 30387 39069 53539 60774 78138 91161 107078 160617 182322 273483 321234 374773 481851 546966 749546 963702 1124319 1445553 2248638 2891106 3372957 6745914 10118871 20237742