Search a number
-
+
242642040 = 23352022017
BaseRepresentation
bin11100111011001…
…10110001111000
3121220120111022020
432131212301320
5444104021130
640024354440
76004265124
oct1635466170
9556514266
10242642040
11114a68613
1269315a20
133b367594
1424322584
151647de10
hexe766c78

242642040 has 32 divisors (see below), whose sum is σ = 727926480. Its totient is φ = 64704512.

The previous prime is 242642039. The next prime is 242642047. The reversal of 242642040 is 40246242.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242642040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242642047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1010889 + ... + 1011128.

Almost surely, 2242642040 is an apocalyptic number.

242642040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242642040 is an abundant number, since it is smaller than the sum of its proper divisors (485284440).

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

242642040 is a wasteful number, since it uses less digits than its factorization.

242642040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022031 (or 2022027 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 242642040 is about 15576.9714643123. The cubic root of 242642040 is about 623.7185820109.

Adding to 242642040 its reverse (40246242), we get a palindrome (282888282).

The spelling of 242642040 in words is "two hundred forty-two million, six hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2022017 4044034 6066051 8088068 10110085 12132102 16176136 20220170 24264204 30330255 40440340 48528408 60660510 80880680 121321020 242642040