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19109840 = 245298237
BaseRepresentation
bin100100011100…
…1011111010000
31022221212202212
41020321133100
514343003330
61521331252
7321300551
oct110713720
938855685
1019109840
11a872562
126496b28
133c611c9
142776328
151a27295
hex12397d0

19109840 has 40 divisors (see below), whose sum is σ = 45968040. Its totient is φ = 7379456.

The previous prime is 19109809. The next prime is 19109851. The reversal of 19109840 is 4890191.

19109840 = T273 + T274 + ... + T512.

It can be written as a sum of positive squares in 4 ways, for example, as 2917264 + 16192576 = 1708^2 + 4024^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 19109797 and 19109806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1799 + ... + 6438.

It is an arithmetic number, because the mean of its divisors is an integer number (1149201).

Almost surely, 219109840 is an apocalyptic number.

19109840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19109840 is an abundant number, since it is smaller than the sum of its proper divisors (26858200).

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

19109840 is a wasteful number, since it uses less digits than its factorization.

19109840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8279 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 19109840 is about 4371.4802984801. The cubic root of 19109840 is about 267.3533828381.

The spelling of 19109840 in words is "nineteen million, one hundred nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 8237 16474 32948 41185 65896 82370 131792 164740 238873 329480 477746 658960 955492 1194365 1910984 2388730 3821968 4777460 9554920 19109840