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19927040 = 21257139
BaseRepresentation
bin100110000000…
…1000000000000
31101111101202112
41030001000000
520100131130
61551034452
7331243220
oct114010000
941441675
1019927040
1110280531
12680ba28
134189163
14290a080
151b39495
hex1301000

19927040 has 104 divisors (see below), whose sum is σ = 55043520. Its totient is φ = 6782976.

The previous prime is 19927027. The next prime is 19927049. The reversal of 19927040 is 4072991.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 19926988 and 19927006.

It is not an unprimeable number, because it can be changed into a prime (19927049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143291 + ... + 143429.

Almost surely, 219927040 is an apocalyptic number.

19927040 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 19927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27521760).

19927040 is an abundant number, since it is smaller than the sum of its proper divisors (35116480).

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

19927040 is an equidigital number, since it uses as much as digits as its factorization.

19927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 19927040 is about 4463.9713260728. The cubic root of 19927040 is about 271.1112862929. Note that the first 3 decimals are identical.

The spelling of 19927040 in words is "nineteen million, nine hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 139 140 160 224 256 278 280 320 448 512 556 560 640 695 896 973 1024 1112 1120 1280 1390 1792 1946 2048 2224 2240 2560 2780 3584 3892 4096 4448 4480 4865 5120 5560 7168 7784 8896 8960 9730 10240 11120 14336 15568 17792 17920 19460 20480 22240 28672 31136 35584 35840 38920 44480 62272 71168 71680 77840 88960 124544 142336 143360 155680 177920 249088 284672 311360 355840 498176 569344 622720 711680 996352 1245440 1423360 1992704 2490880 2846720 3985408 4981760 9963520 19927040