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1242405540 = 2236585213
BaseRepresentation
bin100101000001101…
…1001101010100100
310012120210202000000
41022003121222210
510021023434130
6323141021300
742534162405
oct11203315244
93176722000
101242405540
1158833a742
122a80b4830
1316a520c0c
14bb00b9ac
1574115260
hex4a0d9aa4

1242405540 has 84 divisors (see below), whose sum is σ = 3911833884. Its totient is φ = 331304256.

The previous prime is 1242405533. The next prime is 1242405547. The reversal of 1242405540 is 455042421.

It is an interprime number because it is at equal distance from previous prime (1242405533) and next prime (1242405547).

It can be written as a sum of positive squares in 2 ways, for example, as 504631296 + 737774244 = 22464^2 + 27162^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1242405547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28027 + ... + 57186.

It is an arithmetic number, because the mean of its divisors is an integer number (46569451).

Almost surely, 21242405540 is an apocalyptic number.

1242405540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242405540 is an abundant number, since it is smaller than the sum of its proper divisors (2669428344).

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

1242405540 is an equidigital number, since it uses as much as digits as its factorization.

1242405540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85240 (or 85223 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 1242405540 is about 35247.7735467079. The cubic root of 1242405540 is about 1075.0313428756.

Adding to 1242405540 its reverse (455042421), we get a palindrome (1697447961).

The spelling of 1242405540 in words is "one billion, two hundred forty-two million, four hundred five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 85213 170426 255639 340852 426065 511278 766917 852130 1022556 1278195 1533834 1704260 2300751 2556390 3067668 3834585 4601502 5112780 6902253 7669170 9203004 11503755 13804506 15338340 20706759 23007510 27609012 34511265 41413518 46015020 62120277 69022530 82827036 103533795 124240554 138045060 207067590 248481108 310601385 414135180 621202770 1242405540