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1242461136 = 243710393559
BaseRepresentation
bin100101000001110…
…0111001111010000
310012120220120021010
41022003213033100
510021032224021
6323142130520
742534513450
oct11203471720
93176816233
101242461136
11588378494
122a8120a40
1316a540307
14bb023d60
1574126976
hex4a0e73d0

1242461136 has 80 divisors (see below), whose sum is σ = 3672780800. Its totient is φ = 354547584.

The previous prime is 1242461131. The next prime is 1242461149. The reversal of 1242461136 is 6311642421.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242461131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347325 + ... + 350883.

It is an arithmetic number, because the mean of its divisors is an integer number (45909760).

Almost surely, 21242461136 is an apocalyptic number.

1242461136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1242461136 is an abundant number, since it is smaller than the sum of its proper divisors (2430319664).

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

1242461136 is a wasteful number, since it uses less digits than its factorization.

1242461136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4616 (or 4610 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 1242461136 is about 35248.5621834423. The cubic root of 1242461136 is about 1075.0473780453.

The spelling of 1242461136 in words is "one billion, two hundred forty-two million, four hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1039 2078 3117 3559 4156 6234 7118 7273 8312 10677 12468 14236 14546 16624 21354 21819 24913 24936 28472 29092 42708 43638 49826 49872 56944 58184 74739 85416 87276 99652 116368 149478 170832 174552 199304 298956 349104 398608 597912 1195824 3697801 7395602 11093403 14791204 22186806 25884607 29582408 44373612 51769214 59164816 77653821 88747224 103538428 155307642 177494448 207076856 310615284 414153712 621230568 1242461136