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1420077312 = 2833415011
BaseRepresentation
bin101010010100100…
…1010100100000000
310122222010101212000
41110221022210000
510402014433222
6352525104000
750122313043
oct12451124400
93588111760
101420077312
11669662115
123376b8000
1319828b144
14d685ac5a
1584a0d9ac
hex54a4a900

1420077312 has 144 divisors (see below), whose sum is σ = 4302701760. Its totient is φ = 461721600.

The previous prime is 1420077301. The next prime is 1420077331. The reversal of 1420077312 is 2137700241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 280887 + ... + 285897.

Almost surely, 21420077312 is an apocalyptic number.

1420077312 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 1420077312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151350880).

1420077312 is an abundant number, since it is smaller than the sum of its proper divisors (2882624448).

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

1420077312 is an equidigital number, since it uses as much as digits as its factorization.

1420077312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5077 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1420077312 is about 37683.9131725993. The cubic root of 1420077312 is about 1124.0112628313.

Adding to 1420077312 its reverse (2137700241), we get a palindrome (3557777553).

The spelling of 1420077312 in words is "one billion, four hundred twenty million, seventy-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 128 144 164 192 216 246 256 288 328 369 384 432 492 576 656 738 768 864 984 1107 1152 1312 1476 1728 1968 2214 2304 2624 2952 3456 3936 4428 5011 5248 5904 6912 7872 8856 10022 10496 11808 15033 15744 17712 20044 23616 30066 31488 35424 40088 45099 47232 60132 70848 80176 90198 94464 120264 135297 141696 160352 180396 205451 240528 270594 283392 320704 360792 410902 481056 541188 616353 641408 721584 821804 962112 1082376 1232706 1282816 1443168 1643608 1849059 1924224 2164752 2465412 2886336 3287216 3698118 3848448 4329504 4930824 5547177 5772672 6574432 7396236 8659008 9861648 11094354 11545344 13148864 14792472 17318016 19723296 22188708 26297728 29584944 34636032 39446592 44377416 52595456 59169888 78893184 88754832 118339776 157786368 177509664 236679552 355019328 473359104 710038656 1420077312