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19412040 = 2335831949
BaseRepresentation
bin100101000001…
…1010001001000
31100112020022110
41022003101020
514432141130
61532022320
7323666604
oct112032110
940466273
1019412040
11aa5960a
1266019a0
13403891b
142814504
151a86ab0
hex1283448

19412040 has 64 divisors (see below), whose sum is σ = 58968000. Its totient is φ = 5111552.

The previous prime is 19412033. The next prime is 19412059. The reversal of 19412040 is 4021491.

It is a junction number, because it is equal to n+sod(n) for n = 19411998 and 19412016.

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, 8986 + ... + 10934.

It is an arithmetic number, because the mean of its divisors is an integer number (921375).

Almost surely, 219412040 is an apocalyptic number.

19412040 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 19412040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29484000).

19412040 is an abundant number, since it is smaller than the sum of its proper divisors (39555960).

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

19412040 is a wasteful number, since it uses less digits than its factorization.

19412040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 19412040 is about 4405.9096677077. The cubic root of 19412040 is about 268.7553133977.

The spelling of 19412040 in words is "nineteen million, four hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1949 1992 2490 3320 3898 4980 5847 7796 9745 9960 11694 15592 19490 23388 29235 38980 46776 58470 77960 116940 161767 233880 323534 485301 647068 808835 970602 1294136 1617670 1941204 2426505 3235340 3882408 4853010 6470680 9706020 19412040