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18149520 = 2435471609
BaseRepresentation
bin100010100111…
…1000010010000
31021011002110110
41011033002100
514121241040
61445001320
7310161024
oct105170220
937132413
1018149520
11a277004
1260b3240
1339b607c
1425a6384
1518d7980
hex114f090

18149520 has 80 divisors (see below), whose sum is σ = 57496320. Its totient is φ = 4733952.

The previous prime is 18149501. The next prime is 18149531. The reversal of 18149520 is 2594181.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 10476 + ... + 12084.

It is an arithmetic number, because the mean of its divisors is an integer number (718704).

Almost surely, 218149520 is an apocalyptic number.

18149520 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 18149520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28748160).

18149520 is an abundant number, since it is smaller than the sum of its proper divisors (39346800).

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

18149520 is a wasteful number, since it uses less digits than its factorization.

18149520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 18149520 is about 4260.2253461525. The cubic root of 18149520 is about 262.7977935591.

The spelling of 18149520 in words is "eighteen million, one hundred forty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1609 1880 2256 2820 3218 3760 4827 5640 6436 8045 9654 11280 12872 16090 19308 24135 25744 32180 38616 48270 64360 75623 77232 96540 128720 151246 193080 226869 302492 378115 386160 453738 604984 756230 907476 1134345 1209968 1512460 1814952 2268690 3024920 3629904 4537380 6049840 9074760 18149520