Search a number
-
+
241982070 = 235114317053
BaseRepresentation
bin11100110110001…
…01101001110110
3121212022221222220
432123011221312
5443421411240
640002303210
75665546041
oct1633055166
9555287886
10241982070
11114657790
1269057b06
133b196075
14241cdc58
151639d5d0
hexe6c5a76

241982070 has 64 divisors (see below), whose sum is σ = 648324864. Its totient is φ = 57294720.

The previous prime is 241982053. The next prime is 241982077. The reversal of 241982070 is 70289142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241982077) 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, 5664 + ... + 22716.

It is an arithmetic number, because the mean of its divisors is an integer number (10130076).

Almost surely, 2241982070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241982070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324162432).

241982070 is an abundant number, since it is smaller than the sum of its proper divisors (406342794).

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

241982070 is a wasteful number, since it uses less digits than its factorization.

241982070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17117.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 241982070 is about 15555.7728834025. The cubic root of 241982070 is about 623.1525776964.

The spelling of 241982070 in words is "two hundred forty-one million, nine hundred eighty-two thousand, seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 946 1290 1419 2365 2838 4730 7095 14190 17053 34106 51159 85265 102318 170530 187583 255795 375166 511590 562749 733279 937915 1125498 1466558 1875830 2199837 2813745 3666395 4399674 5627490 7332790 8066069 10999185 16132138 21998370 24198207 40330345 48396414 80660690 120991035 241982070