Search a number
-
+
254465420 = 225112711481
BaseRepresentation
bin11110010101011…
…01010110001100
3122201211011221012
433022231112030
51010120343140
641130024352
76206630456
oct1712552614
9581734835
10254465420
11120703700
12712780b8
1340947071
1425b1d2d6
1517517265
hexf2ad58c

254465420 has 72 divisors (see below), whose sum is σ = 596048544. Its totient is φ = 91168000.

The previous prime is 254465413. The next prime is 254465441. The reversal of 254465420 is 24564452.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171080 + ... + 172560.

It is an arithmetic number, because the mean of its divisors is an integer number (8278452).

Almost surely, 2254465420 is an apocalyptic number.

254465420 is a gapful number since it is divisible by the number (20) 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 254465420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298024272).

254465420 is an abundant number, since it is smaller than the sum of its proper divisors (341583124).

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

254465420 is a wasteful number, since it uses less digits than its factorization.

254465420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The square root of 254465420 is about 15951.9722918516. The cubic root of 254465420 is about 633.6891303367.

The spelling of 254465420 in words is "two hundred fifty-four million, four hundred sixty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 121 142 220 242 284 355 484 605 710 781 1210 1420 1481 1562 2420 2962 3124 3905 5924 7405 7810 8591 14810 15620 16291 17182 29620 32582 34364 42955 65164 81455 85910 105151 162910 171820 179201 210302 325820 358402 420604 525755 716804 896005 1051510 1156661 1792010 2103020 2313322 3584020 4626644 5783305 11566610 12723271 23133220 25446542 50893084 63616355 127232710 254465420