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19912440 = 23351743227
BaseRepresentation
bin100101111110…
…1011011111000
31101110122201210
41023331123320
520044144230
61550443120
7331152522
oct113753370
941418653
1019912440
1110270569
1268034a0
134182612
142904a12
151b34eb0
hex12fd6f8

19912440 has 128 divisors (see below), whose sum is σ = 65007360. Its totient is φ = 4859904.

The previous prime is 19912433. The next prime is 19912463. The reversal of 19912440 is 4421991.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 19912398 and 19912407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87607 + ... + 87833.

It is an arithmetic number, because the mean of its divisors is an integer number (507870).

Almost surely, 219912440 is an apocalyptic number.

19912440 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 19912440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32503680).

19912440 is an abundant number, since it is smaller than the sum of its proper divisors (45094920).

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

19912440 is a wasteful number, since it uses less digits than its factorization.

19912440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 19912440 is about 4462.3357112615. The cubic root of 19912440 is about 271.0450581615.

The spelling of 19912440 in words is "nineteen million, nine hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 43 51 60 68 85 86 102 120 129 136 170 172 204 215 227 255 258 340 344 408 430 454 510 516 645 680 681 731 860 908 1020 1032 1135 1290 1362 1462 1720 1816 2040 2193 2270 2580 2724 2924 3405 3655 3859 4386 4540 5160 5448 5848 6810 7310 7718 8772 9080 9761 10965 11577 13620 14620 15436 17544 19295 19522 21930 23154 27240 29240 29283 30872 38590 39044 43860 46308 48805 57885 58566 77180 78088 87720 92616 97610 115770 117132 146415 154360 165937 195220 231540 234264 292830 331874 390440 463080 497811 585660 663748 829685 995622 1171320 1327496 1659370 1991244 2489055 3318740 3982488 4978110 6637480 9956220 19912440