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1242415120 = 24533146919
BaseRepresentation
bin100101000001101…
…1100000000010000
310012120211020010211
41022003130000100
510021024240440
6323141133504
742534232342
oct11203340020
93176736124
101242415120
11588346961
122a80ba294
1316a52539b
14bb011292
1574117eea
hex4a0dc010

1242415120 has 40 divisors (see below), whose sum is σ = 2897403840. Its totient is φ = 495454080.

The previous prime is 1242415099. The next prime is 1242415147. The reversal of 1242415120 is 215142421.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×12424151202 = 3087190660809228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1242415091 and 1242415100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3021 + ... + 49939.

It is an arithmetic number, because the mean of its divisors is an integer number (72435096).

Almost surely, 21242415120 is an apocalyptic number.

1242415120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242415120 is an abundant number, since it is smaller than the sum of its proper divisors (1654988720).

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

1242415120 is a wasteful number, since it uses less digits than its factorization.

1242415120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47263 (or 47257 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1242415120 is about 35247.9094415541. The cubic root of 1242415120 is about 1075.0341060028.

Adding to 1242415120 its reverse (215142421), we get a palindrome (1457557541).

The spelling of 1242415120 in words is "one billion, two hundred forty-two million, four hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 331 662 1324 1655 2648 3310 5296 6620 13240 26480 46919 93838 187676 234595 375352 469190 750704 938380 1876760 3753520 15530189 31060378 62120756 77650945 124241512 155301890 248483024 310603780 621207560 1242415120