Search a number
-
+
19997460 = 22325759269
BaseRepresentation
bin100110001001…
…0001100010100
31101121222100200
41030102030110
520104404320
61552340500
7331655430
oct114221424
941558320
1019997460
111031942a
126844730
1341b2222
1429279c0
151b50290
hex1312314

19997460 has 144 divisors (see below), whose sum is σ = 70761600. Its totient is φ = 4476672.

The previous prime is 19997459. The next prime is 19997473. The reversal of 19997460 is 6479991.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 74206 + ... + 74474.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 219997460 is an apocalyptic number.

19997460 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 19997460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35380800).

19997460 is an abundant number, since it is smaller than the sum of its proper divisors (50764140).

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

19997460 is a wasteful number, since it uses less digits than its factorization.

19997460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 19997460 is about 4471.8519653495. The cubic root of 19997460 is about 271.4302701384.

The spelling of 19997460 in words is "nineteen million, nine hundred ninety-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 59 60 63 70 84 90 105 118 126 140 177 180 210 236 252 269 295 315 354 413 420 531 538 590 630 708 807 826 885 1062 1076 1180 1239 1260 1345 1614 1652 1770 1883 2065 2124 2421 2478 2655 2690 3228 3540 3717 3766 4035 4130 4842 4956 5310 5380 5649 6195 7434 7532 8070 8260 9415 9684 10620 11298 12105 12390 14868 15871 16140 16947 18585 18830 22596 24210 24780 28245 31742 33894 37170 37660 47613 48420 56490 63484 67788 74340 79355 84735 95226 111097 112980 142839 158710 169470 190452 222194 238065 285678 317420 333291 338940 444388 476130 555485 571356 666582 714195 952260 999873 1110970 1333164 1428390 1666455 1999746 2221940 2856780 3332910 3999492 4999365 6665820 9998730 19997460