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19975830 = 23572107127
BaseRepresentation
bin100110000110…
…0111010010110
31101120212200120
41030030322112
520103211310
61552052410
7331535400
oct114147226
941525616
1019975830
1110304156
126834106
1341a5424
14291db70
151b48b70
hex130ce96

19975830 has 96 divisors (see below), whose sum is σ = 56733696. Its totient is φ = 4487616.

The previous prime is 19975771. The next prime is 19975843. The reversal of 19975830 is 3857991.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157227 + ... + 157353.

It is an arithmetic number, because the mean of its divisors is an integer number (590976).

Almost surely, 219975830 is an apocalyptic number.

19975830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19975830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28366848).

19975830 is an abundant number, since it is smaller than the sum of its proper divisors (36757866).

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

19975830 is a wasteful number, since it uses less digits than its factorization.

19975830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 19975830 is about 4469.4328499263. The cubic root of 19975830 is about 271.3323717921.

The spelling of 19975830 in words is "nineteen million, nine hundred seventy-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 107 127 147 210 214 245 254 294 321 381 490 535 635 642 735 749 762 889 1070 1270 1470 1498 1605 1778 1905 2247 2667 3210 3745 3810 4445 4494 5243 5334 6223 7490 8890 10486 11235 12446 13335 13589 15729 18669 22470 26215 26670 27178 31115 31458 37338 40767 52430 62230 67945 78645 81534 93345 95123 135890 157290 186690 190246 203835 285369 407670 475615 570738 665861 951230 1331722 1426845 1997583 2853690 3329305 3995166 6658610 9987915 19975830