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18040464 = 24321323419
BaseRepresentation
bin100010011010…
…0011010010000
31020221112212100
41010310122100
514104243324
61442400400
7306225051
oct104643220
936845770
1018040464
11a202082
126060100
133978540
142578728
1518b54c9
hex1134690

18040464 has 120 divisors (see below), whose sum is σ = 56871360. Its totient is φ = 5296896.

The previous prime is 18040459. The next prime is 18040469. The reversal of 18040464 is 46404081.

It is an interprime number because it is at equal distance from previous prime (18040459) and next prime (18040469).

It is not an unprimeable number, because it can be changed into a prime (18040469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42847 + ... + 43265.

It is an arithmetic number, because the mean of its divisors is an integer number (473928).

Almost surely, 218040464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18040464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28435680).

18040464 is an abundant number, since it is smaller than the sum of its proper divisors (38830896).

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

18040464 is a wasteful number, since it uses less digits than its factorization.

18040464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 18040464 is about 4247.4067382345. The cubic root of 18040464 is about 262.2703733381.

It can be divided in two parts, 1804046 and 4, that added together give a triangular number (1804050 = T1899).

The spelling of 18040464 in words is "eighteen million, forty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 36 39 46 48 52 69 72 78 92 104 117 138 144 156 184 207 208 234 276 299 312 368 414 419 468 552 598 624 828 838 897 936 1104 1196 1257 1656 1676 1794 1872 2392 2514 2691 3312 3352 3588 3771 4784 5028 5382 5447 6704 7176 7542 9637 10056 10764 10894 14352 15084 16341 19274 20112 21528 21788 28911 30168 32682 38548 43056 43576 49023 57822 60336 65364 77096 86733 87152 98046 115644 125281 130728 154192 173466 196092 231288 250562 261456 346932 375843 392184 462576 501124 693864 751686 784368 1002248 1127529 1387728 1503372 2004496 2255058 3006744 4510116 6013488 9020232 18040464