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1420242432 = 2937314261
BaseRepresentation
bin101010010100111…
…0010111000000000
310122222102210100120
41110221302320000
510402040224212
6352532420240
750123601330
oct12451627000
93588383316
101420242432
11669765184
12337777680
1319831834b
14d68a10c0
1584a4288c
hex54a72e00

1420242432 has 160 divisors (see below), whose sum is σ = 4464666624. Its totient is φ = 392601600.

The previous prime is 1420242427. The next prime is 1420242449. The reversal of 1420242432 is 2342420241.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331182 + ... + 335442.

Almost surely, 21420242432 is an apocalyptic number.

1420242432 is a gapful number since it is divisible by the number (12) 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 1420242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232333312).

1420242432 is an abundant number, since it is smaller than the sum of its proper divisors (3044424192).

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

1420242432 is an equidigital number, since it uses as much as digits as its factorization.

1420242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 4304 counting only the distinct ones).

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

The square root of 1420242432 is about 37686.1039641935. The cubic root of 1420242432 is about 1124.0548260808.

Adding to 1420242432 its reverse (2342420241), we get a palindrome (3762662673).

The spelling of 1420242432 in words is "one billion, four hundred twenty million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 512 651 672 744 768 868 896 992 1302 1344 1488 1536 1736 1792 1984 2604 2688 2976 3472 3584 3968 4261 5208 5376 5952 6944 7936 8522 10416 10752 11904 12783 13888 15872 17044 20832 23808 25566 27776 29827 34088 41664 47616 51132 55552 59654 68176 83328 89481 102264 111104 119308 132091 136352 166656 178962 204528 238616 264182 272704 333312 357924 396273 409056 477232 528364 545408 715848 792546 818112 924637 954464 1056728 1090816 1431696 1585092 1636224 1849274 1908928 2113456 2181632 2773911 2863392 3170184 3272448 3698548 3817856 4226912 5547822 5726784 6340368 6544896 7397096 7635712 8453824 11095644 11453568 12680736 14794192 15271424 16907648 22191288 22907136 25361472 29588384 33815296 44382576 45814272 50722944 59176768 67630592 88765152 101445888 118353536 177530304 202891776 236707072 355060608 473414144 710121216 1420242432