Search a number
-
+
18946980 = 22335132699
BaseRepresentation
bin100100001000…
…1101110100100
31022122121101000
41020101232210
514322300410
61514033300
7320022003
oct110215644
938577330
1018946980
11a771168
126418830
133c05040
142732c3a
1519e3dc0
hex1211ba4

18946980 has 96 divisors (see below), whose sum is σ = 63504000. Its totient is φ = 4662144.

The previous prime is 18946973. The next prime is 18946999. The reversal of 18946980 is 8964981.

18946980 is a `hidden beast` number, since 189 + 469 + 8 + 0 = 666.

It is a super-2 number, since 2×189469802 = 717976102240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5671 + ... + 8369.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 218946980 is an apocalyptic number.

18946980 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 18946980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752000).

18946980 is an abundant number, since it is smaller than the sum of its proper divisors (44557020).

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

18946980 is a wasteful number, since it uses less digits than its factorization.

18946980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 18946980 is about 4352.8128836420. The cubic root of 18946980 is about 266.5917254691.

The spelling of 18946980 in words is "eighteen million, nine hundred forty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 2699 3510 5398 7020 8097 10796 13495 16194 24291 26990 32388 35087 40485 48582 53980 70174 72873 80970 97164 105261 121455 140348 145746 161940 175435 210522 242910 291492 315783 350870 364365 421044 485820 526305 631566 701740 728730 947349 1052610 1263132 1457460 1578915 1894698 2105220 3157830 3789396 4736745 6315660 9473490 18946980