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18990960 = 2435531493
BaseRepresentation
bin100100001110…
…0011101110000
31022201211200220
41020130131300
514330202320
61515013040
7320264142
oct110343560
938654626
1018990960
11a7a120a
12643a180
133c1c071
142744c92
151a01e40
hex121c770

18990960 has 80 divisors (see below), whose sum is σ = 60022944. Its totient is φ = 4965376.

The previous prime is 18990943. The next prime is 18990973. The reversal of 18990960 is 6909981.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11974 + ... + 13466.

Almost surely, 218990960 is an apocalyptic number.

18990960 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 18990960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30011472).

18990960 is an abundant number, since it is smaller than the sum of its proper divisors (41031984).

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

18990960 is a wasteful number, since it uses less digits than its factorization.

18990960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 18990960 is about 4357.8618610507. The cubic root of 18990960 is about 266.7978382448.

The spelling of 18990960 in words is "eighteen million, nine hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1493 1590 2120 2544 2986 3180 4240 4479 5972 6360 7465 8958 11944 12720 14930 17916 22395 23888 29860 35832 44790 59720 71664 79129 89580 119440 158258 179160 237387 316516 358320 395645 474774 633032 791290 949548 1186935 1266064 1582580 1899096 2373870 3165160 3798192 4747740 6330320 9495480 18990960