Search a number
-
+
19869948 = 223478761
BaseRepresentation
bin100101111001…
…1000011111100
31101101111110000
41023303003330
520041314243
61545514300
7330614610
oct113630374
941344400
1019869948
111024164a
1267a2990
134169187
1428d3340
151b275d3
hex12f30fc

19869948 has 60 divisors (see below), whose sum is σ = 59371312. Its totient is φ = 5676480.

The previous prime is 19869947. The next prime is 19869973. The reversal of 19869948 is 84996891.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 19869894 and 19869903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19869947) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2113 + ... + 6648.

Almost surely, 219869948 is an apocalyptic number.

19869948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19869948 is an abundant number, since it is smaller than the sum of its proper divisors (39501364).

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

19869948 is a wasteful number, since it uses less digits than its factorization.

19869948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8784 (or 8773 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 19869948 is about 4457.5719848366. The cubic root of 19869948 is about 270.8521226780.

The spelling of 19869948 in words is "nineteen million, eight hundred sixty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 8761 17522 26283 35044 52566 61327 78849 105132 122654 157698 183981 236547 245308 315396 367962 473094 551943 709641 735924 946188 1103886 1419282 1655829 2207772 2838564 3311658 4967487 6623316 9934974 19869948