Search a number
-
+
19405080 = 23325192837
BaseRepresentation
bin100101000000…
…1100100011000
31100111212202200
41022001210120
514431430310
61531530200
7323640402
oct112014430
940455680
1019405080
11aa54362
1265b9960
1340356c6
142811b72
151a849c0
hex1281918

19405080 has 96 divisors (see below), whose sum is σ = 66409200. Its totient is φ = 4900608.

The previous prime is 19405069. The next prime is 19405093. The reversal of 19405080 is 8050491.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5422 + ... + 8258.

Almost surely, 219405080 is an apocalyptic number.

19405080 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 19405080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33204600).

19405080 is an abundant number, since it is smaller than the sum of its proper divisors (47004120).

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

19405080 is a wasteful number, since it uses less digits than its factorization.

19405080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 19405080 is about 4405.1197486561. The cubic root of 19405080 is about 268.7231896817.

The spelling of 19405080 in words is "nineteen million, four hundred five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 2837 3420 5674 6840 8511 11348 14185 17022 22696 25533 28370 34044 42555 51066 53903 56740 68088 85110 102132 107806 113480 127665 161709 170220 204264 215612 255330 269515 323418 340440 431224 485127 510660 539030 646836 808545 970254 1021320 1078060 1293672 1617090 1940508 2156120 2425635 3234180 3881016 4851270 6468360 9702540 19405080