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1420026456 = 233175397677
BaseRepresentation
bin101010010100011…
…1110001001011000
310122222000211002110
41110220332021120
510402011321311
6352524032320
750122011552
oct12450761130
93588024073
101420026456
11669627992
123376926a0
13198270c54
14d68464d2
15849ed8a6
hex54a3e258

1420026456 has 128 divisors (see below), whose sum is σ = 3875014080. Its totient is φ = 431947776.

The previous prime is 1420026449. The next prime is 1420026467. The reversal of 1420026456 is 6546200241.

It is a super-3 number, since 3×14200264563 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2097190 + ... + 2097866.

Almost surely, 21420026456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420026456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937507040).

1420026456 is an abundant number, since it is smaller than the sum of its proper divisors (2454987624).

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

1420026456 is a wasteful number, since it uses less digits than its factorization.

1420026456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1420026456 is about 37683.2383958704. The cubic root of 1420026456 is about 1123.9978449235.

Adding to 1420026456 its reverse (6546200241), we get a palindrome (7966226697).

The spelling of 1420026456 in words is "one billion, four hundred twenty million, twenty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 97 102 106 136 159 194 204 212 291 318 388 408 424 582 636 677 776 901 1164 1272 1354 1649 1802 2031 2328 2703 2708 3298 3604 4062 4947 5141 5406 5416 6596 7208 8124 9894 10282 10812 11509 13192 15423 16248 19788 20564 21624 23018 30846 34527 35881 39576 41128 46036 61692 65669 69054 71762 87397 92072 107643 123384 131338 138108 143524 174794 197007 215286 262191 262676 276216 287048 349588 394014 430572 524382 525352 609977 699176 788028 861144 1048764 1116373 1219954 1576056 1829931 2097528 2232746 2439908 3349119 3480457 3659862 4465492 4879816 6698238 6960914 7319724 8930984 10441371 13396476 13921828 14639448 20882742 26792952 27843656 41765484 59167769 83530968 118335538 177503307 236671076 355006614 473342152 710013228 1420026456