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19941480 = 23325134261
BaseRepresentation
bin100110000010…
…0100001101000
31101112010120100
41030010201220
520101111410
61551225400
7331333266
oct114044150
941463510
1019941480
1110290369
126818260
1341928c0
142911436
151b3d8c0
hex1304868

19941480 has 96 divisors (see below), whose sum is σ = 69811560. Its totient is φ = 4907520.

The previous prime is 19941479. The next prime is 19941491. The reversal of 19941480 is 8414991.

It can be written as a sum of positive squares in 4 ways, for example, as 17489124 + 2452356 = 4182^2 + 1566^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2550 + ... + 6810.

Almost surely, 219941480 is an apocalyptic number.

19941480 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 19941480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34905780).

19941480 is an abundant number, since it is smaller than the sum of its proper divisors (49870080).

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

19941480 is a wasteful number, since it uses less digits than its factorization.

19941480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 19941480 is about 4465.5884270721. The cubic root of 19941480 is about 271.1767568249.

The spelling of 19941480 in words is "nineteen million, nine hundred forty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4261 4680 8522 12783 17044 21305 25566 34088 38349 42610 51132 55393 63915 76698 85220 102264 110786 127830 153396 166179 170440 191745 221572 255660 276965 306792 332358 383490 443144 498537 511320 553930 664716 766980 830895 997074 1107860 1329432 1533960 1661790 1994148 2215720 2492685 3323580 3988296 4985370 6647160 9970740 19941480