Search a number
-
+
264119000 = 23531913901
BaseRepresentation
bin11111011111000…
…10001011011000
3200101222122011012
433233202023120
51020103302000
642112553052
76354655145
oct1757421330
9611878135
10264119000
111260a7572
1274552788
1342947042
14271133cc
15182c2735
hexfbe22d8

264119000 has 64 divisors (see below), whose sum is σ = 650613600. Its totient is φ = 100080000.

The previous prime is 264118999. The next prime is 264119027. The reversal of 264119000 is 911462.

It is a happy number.

It is a super-2 number, since 2×2641190002 = 139517692322000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12050 + ... + 25950.

Almost surely, 2264119000 is an apocalyptic number.

264119000 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 264119000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325306800).

264119000 is an abundant number, since it is smaller than the sum of its proper divisors (386494600).

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

264119000 is a wasteful number, since it uses less digits than its factorization.

264119000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13941 (or 13927 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 264119000 is about 16251.7383685561. The cubic root of 264119000 is about 641.6032395468.

The spelling of 264119000 in words is "two hundred sixty-four million, one hundred nineteen thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 9500 13901 19000 27802 55604 69505 111208 139010 264119 278020 347525 528238 556040 695050 1056476 1320595 1390100 1737625 2112952 2641190 2780200 3475250 5282380 6602975 6950500 10564760 13205950 13901000 26411900 33014875 52823800 66029750 132059500 264119000