Search a number
-
+
1451840868 = 2233172334381
BaseRepresentation
bin101011010001001…
…0101010101100100
310202011220011021000
41112202111111210
510433132401433
6400021553300
750656305132
oct12642252544
93664804230
101451840868
11685587595
12346275830
131a1a2ca4a
14dab68752
15876d5113
hex56895564

1451840868 has 96 divisors (see below), whose sum is σ = 4158846720. Its totient is φ = 435663360.

The previous prime is 1451840861. The next prime is 1451840879. The reversal of 1451840868 is 8680481541.

1451840868 is a `hidden beast` number, since 14 + 518 + 40 + 86 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1451840861) 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, 25038 + ... + 59418.

It is an arithmetic number, because the mean of its divisors is an integer number (43321320).

Almost surely, 21451840868 is an apocalyptic number.

1451840868 is a gapful number since it is divisible by the number (18) 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 1451840868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079423360).

1451840868 is an abundant number, since it is smaller than the sum of its proper divisors (2707005852).

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

1451840868 is a wasteful number, since it uses less digits than its factorization.

1451840868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34434 (or 34426 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 1451840868 is about 38103.0296433236. The cubic root of 1451840868 is about 1132.3299793006.

The spelling of 1451840868 in words is "one billion, four hundred fifty-one million, eight hundred forty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 23 27 34 36 46 51 54 68 69 92 102 108 138 153 204 207 276 306 391 414 459 612 621 782 828 918 1173 1242 1564 1836 2346 2484 3519 4692 7038 10557 14076 21114 34381 42228 68762 103143 137524 206286 309429 412572 584477 618858 790763 928287 1168954 1237716 1581526 1753431 1856574 2337908 2372289 3163052 3506862 3713148 4744578 5260293 7013724 7116867 9489156 10520586 13442971 14233734 15780879 21041172 21350601 26885942 28467468 31561758 40328913 42701202 53771884 63123516 80657826 85402404 120986739 161315652 241973478 362960217 483946956 725920434 1451840868