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181504040 = 23523296803
BaseRepresentation
bin10101101000110…
…00100000101000
3110122112100201212
422310120200220
5332431112130
630002132252
74332521204
oct1264304050
9418470655
10181504040
11934aa743
1250951088
132b7ac653
141a169b04
1510e03e95
hexad18828

181504040 has 64 divisors (see below), whose sum is σ = 440899200. Its totient is φ = 67040512.

The previous prime is 181504027. The next prime is 181504067. The reversal of 181504040 is 40405181.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 181503997 and 181504015.

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, 23279 + ... + 30081.

It is an arithmetic number, because the mean of its divisors is an integer number (6889050).

Almost surely, 2181504040 is an apocalyptic number.

181504040 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 181504040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220449600).

181504040 is an abundant number, since it is smaller than the sum of its proper divisors (259395160).

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

181504040 is a wasteful number, since it uses less digits than its factorization.

181504040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6866 (or 6862 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 181504040 is about 13472.3435229362. The cubic root of 181504040 is about 566.1898749891.

The spelling of 181504040 in words is "one hundred eighty-one million, five hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 29 40 46 58 92 115 116 145 184 230 232 290 460 580 667 920 1160 1334 2668 3335 5336 6670 6803 13340 13606 26680 27212 34015 54424 68030 136060 156469 197287 272120 312938 394574 625876 782345 789148 986435 1251752 1564690 1578296 1972870 3129380 3945740 4537601 6258760 7891480 9075202 18150404 22688005 36300808 45376010 90752020 181504040