Search a number
-
+
18923280 = 2435372131
BaseRepresentation
bin100100000101…
…1111100010000
31022121101212020
41020023330100
514321021110
61513331440
7316562625
oct110137420
938541766
1018923280
11a755382
126406b80
133bc730c
14272834c
1519dbd70
hex120bf10

18923280 has 80 divisors (see below), whose sum is σ = 60275904. Its totient is φ = 4907520.

The previous prime is 18923257. The next prime is 18923291. The reversal of 18923280 is 8232981.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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, 7815 + ... + 9945.

Almost surely, 218923280 is an apocalyptic number.

18923280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18923280 is the 3552-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18923280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30137952).

18923280 is an abundant number, since it is smaller than the sum of its proper divisors (41352624).

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

18923280 is a wasteful number, since it uses less digits than its factorization.

18923280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 18923280 is about 4350.0896542485. The cubic root of 18923280 is about 266.4805228723.

The spelling of 18923280 in words is "eighteen million, nine hundred twenty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2131 2220 2960 4262 4440 6393 8524 8880 10655 12786 17048 21310 25572 31965 34096 42620 51144 63930 78847 85240 102288 127860 157694 170480 236541 255720 315388 394235 473082 511440 630776 788470 946164 1182705 1261552 1576940 1892328 2365410 3153880 3784656 4730820 6307760 9461640 18923280