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202660542 = 23776619
BaseRepresentation
bin11000001010001…
…01101010111110
3112010100020000000
430011011222332
5403340114132
632035415130
75010405030
oct1405055276
9463306000
10202660542
11a443a957
1257a544a6
1332ca92a6
141ccb5c50
1512bd287c
hexc145abe

202660542 has 64 divisors (see below), whose sum is σ = 521126400. Its totient is φ = 57894264.

The previous prime is 202660541. The next prime is 202660543. The reversal of 202660542 is 245066202.

202660542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202660541) and next prime (202660543).

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 (202660541) 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, 27309 + ... + 33927.

It is an arithmetic number, because the mean of its divisors is an integer number (8142600).

Almost surely, 2202660542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202660542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260563200).

202660542 is an abundant number, since it is smaller than the sum of its proper divisors (318465858).

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

202660542 is an frugal number, since it uses more digits than its factorization.

202660542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6649 (or 6631 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 202660542 is about 14235.8892240703. The cubic root of 202660542 is about 587.3852905364.

The spelling of 202660542 in words is "two hundred two million, six hundred sixty thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1458 1701 2187 3402 4374 5103 6619 10206 13238 15309 19857 30618 39714 46333 59571 92666 119142 138999 178713 277998 357426 416997 536139 833994 1072278 1250991 1608417 2501982 3216834 3752973 4825251 7505946 9650502 11258919 14475753 22517838 28951506 33776757 67553514 101330271 202660542