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19244680 = 23571317311
BaseRepresentation
bin100100101101…
…0011010001000
31100012201201221
41021122122020
514411312210
61524251424
7322401640
oct111323210
940181657
1019244680
11a9548a4
126540b74
133caa6b0
1427ad520
151a521da
hex125a688

19244680 has 128 divisors (see below), whose sum is σ = 56609280. Its totient is φ = 5713920.

The previous prime is 19244669. The next prime is 19244683. The reversal of 19244680 is 8644291.

19244680 = T32 + T33 + ... + T486.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19244683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61725 + ... + 62035.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 219244680 is an apocalyptic number.

19244680 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 19244680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).

19244680 is an abundant number, since it is smaller than the sum of its proper divisors (37364600).

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

19244680 is a wasteful number, since it uses less digits than its factorization.

19244680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 19244680 is about 4386.8758815357. The cubic root of 19244680 is about 267.9807292893.

The spelling of 19244680 in words is "nineteen million, two hundred forty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 17 20 26 28 34 35 40 52 56 65 68 70 85 91 104 119 130 136 140 170 182 221 238 260 280 311 340 364 442 455 476 520 595 622 680 728 884 910 952 1105 1190 1244 1547 1555 1768 1820 2177 2210 2380 2488 3094 3110 3640 4043 4354 4420 4760 5287 6188 6220 7735 8086 8708 8840 10574 10885 12376 12440 15470 16172 17416 20215 21148 21770 26435 28301 30940 32344 37009 40430 42296 43540 52870 56602 61880 68731 74018 80860 87080 105740 113204 137462 141505 148036 161720 185045 211480 226408 274924 283010 296072 343655 370090 481117 549848 566020 687310 740180 962234 1132040 1374620 1480360 1924468 2405585 2749240 3848936 4811170 9622340 19244680