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202071042 = 232194114411
BaseRepresentation
bin11000000101101…
…01110000000010
3112002020021100200
430002311300002
5403212233132
632015030030
75002401255
oct1402656002
9462207320
10202071042
11a4077a68
125780b316
1332b30b84
141cba109c
1512b17d7c
hexc0b5c02

202071042 has 48 divisors (see below), whose sum is σ = 472137120. Its totient is φ = 62251200.

The previous prime is 202070983. The next prime is 202071049. The reversal of 202071042 is 240170202.

202071042 = 13142 + 13152 + ... + 14212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (202071049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6817 + ... + 21227.

It is an arithmetic number, because the mean of its divisors is an integer number (9836190).

Almost surely, 2202071042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202071042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236068560).

202071042 is an abundant number, since it is smaller than the sum of its proper divisors (270066078).

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

202071042 is a wasteful number, since it uses less digits than its factorization.

202071042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14479 (or 14476 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 202071042 is about 14215.1694326870. The cubic root of 202071042 is about 586.8152076665.

The spelling of 202071042 in words is "two hundred two million, seventy-one thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 38 41 57 82 114 123 171 246 342 369 738 779 1558 2337 4674 7011 14022 14411 28822 43233 86466 129699 259398 273809 547618 590851 821427 1181702 1642854 1772553 2464281 3545106 4928562 5317659 10635318 11226169 22452338 33678507 67357014 101035521 202071042