Search a number
-
+
1423121460 = 223547618273
BaseRepresentation
bin101010011010011…
…0001110000110100
310200011212001122020
41110310301300310
510403304341320
6353114233140
750160222105
oct12464616064
93604761566
101423121460
11670351242
123387257b0
13198ab5907
14d70103ac
1584e10940
hex54d31c34

1423121460 has 96 divisors (see below), whose sum is σ = 4136735232. Its totient is φ = 365291520.

The previous prime is 1423121449. The next prime is 1423121467. The reversal of 1423121460 is 641213241.

It is a self number, because there is not a number n which added to its sum of digits gives 1423121460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1423121467) 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, 167884 + ... + 176156.

It is an arithmetic number, because the mean of its divisors is an integer number (43090992).

Almost surely, 21423121460 is an apocalyptic number.

1423121460 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 1423121460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068367616).

1423121460 is an abundant number, since it is smaller than the sum of its proper divisors (2713613772).

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

1423121460 is a wasteful number, since it uses less digits than its factorization.

1423121460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8393 (or 8391 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1423121460 is about 37724.2821005251. The cubic root of 1423121460 is about 1124.8138516698.

The spelling of 1423121460 in words is "one billion, four hundred twenty-three million, one hundred twenty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 61 94 122 141 183 188 235 244 282 305 366 470 564 610 705 732 915 940 1220 1410 1830 2820 2867 3660 5734 8273 8601 11468 14335 16546 17202 24819 28670 33092 34404 41365 43005 49638 57340 82730 86010 99276 124095 165460 172020 248190 388831 496380 504653 777662 1009306 1166493 1513959 1555324 1944155 2018612 2332986 2523265 3027918 3888310 4665972 5046530 5832465 6055836 7569795 7776620 10093060 11664930 15139590 23329860 23718691 30279180 47437382 71156073 94874764 118593455 142312146 237186910 284624292 355780365 474373820 711560730 1423121460