Search a number
-
+
242040260 = 225711732153
BaseRepresentation
bin11100110110100…
…11110111000100
3121212102220211002
432123103313010
5443430242020
640003432432
75666210510
oct1633236704
9555386732
10242040260
11114697480
1269085718
133b1b66b7
1424207140
15163b0975
hexe6d3dc4

242040260 has 96 divisors (see below), whose sum is σ = 642684672. Its totient is φ = 74373120.

The previous prime is 242040257. The next prime is 242040263. The reversal of 242040260 is 62040242.

It is an interprime number because it is at equal distance from previous prime (242040257) and next prime (242040263).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (242040263) 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, 111344 + ... + 113496.

It is an arithmetic number, because the mean of its divisors is an integer number (6694632).

Almost surely, 2242040260 is an apocalyptic number.

242040260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242040260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321342336).

242040260 is an abundant number, since it is smaller than the sum of its proper divisors (400644412).

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

242040260 is a wasteful number, since it uses less digits than its factorization.

242040260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 242040260 is about 15557.6431376992. The cubic root of 242040260 is about 623.2025240172.

The spelling of 242040260 in words is "two hundred forty-two million, forty thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 73 77 110 140 146 154 220 292 308 365 385 511 730 770 803 1022 1460 1540 1606 2044 2153 2555 3212 4015 4306 5110 5621 8030 8612 10220 10765 11242 15071 16060 21530 22484 23683 28105 30142 43060 47366 56210 60284 75355 94732 112420 118415 150710 157169 165781 236830 301420 314338 331562 473660 628676 663124 785845 828905 1100183 1571690 1657810 1728859 2200366 3143380 3315620 3457718 4400732 5500915 6915436 8644295 11001830 12102013 17288590 22003660 24204026 34577180 48408052 60510065 121020130 242040260