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1451311420 = 22513171013251
BaseRepresentation
bin101011010000001…
…0100000100111100
310202010220020222211
41112200110010330
510433013431140
6400002350204
750651641426
oct12640240474
93663806884
101451311420
11685255829
1234605b364
131a18a5a70
14daa6b816
158762d2ea
hex5681413c

1451311420 has 96 divisors (see below), whose sum is σ = 3510755136. Its totient is φ = 499200000.

The previous prime is 1451311417. The next prime is 1451311427. The reversal of 1451311420 is 241131541.

It is a junction number, because it is equal to n+sod(n) for n = 1451311391 and 1451311400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1451311427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444795 + ... + 448045.

It is an arithmetic number, because the mean of its divisors is an integer number (36570366).

Almost surely, 21451311420 is an apocalyptic number.

1451311420 is a gapful number since it is divisible by the number (10) 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 1451311420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755377568).

1451311420 is an abundant number, since it is smaller than the sum of its proper divisors (2059443716).

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

1451311420 is a wasteful number, since it uses less digits than its factorization.

1451311420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1451311420 is about 38096.0814257845. The cubic root of 1451311420 is about 1132.1923189583.

Adding to 1451311420 its reverse (241131541), we get a palindrome (1692442961).

The spelling of 1451311420 in words is "one billion, four hundred fifty-one million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 101 130 170 202 221 260 340 404 442 505 884 1010 1105 1313 1717 2020 2210 2626 3251 3434 4420 5252 6502 6565 6868 8585 13004 13130 16255 17170 22321 26260 32510 34340 42263 44642 55267 65020 84526 89284 110534 111605 169052 211315 221068 223210 276335 328351 422630 446420 552670 656702 718471 845260 1105340 1313404 1436942 1641755 2873884 3283510 3592355 4268563 5581967 6567020 7184710 8537126 11163934 14369420 17074252 21342815 22327868 27909835 42685630 55819670 72565571 85371260 111639340 145131142 290262284 362827855 725655710 1451311420