Search a number
-
+
19949120 = 265312011
BaseRepresentation
bin100110000011…
…0011001000000
31101112112001022
41030012121000
520101332440
61551325012
7331364462
oct114063100
941475038
1019949120
1110296084
126820768
134196219
142914132
151b40cb5
hex1306640

19949120 has 56 divisors (see below), whose sum is σ = 49060608. Its totient is φ = 7718400.

The previous prime is 19949093. The next prime is 19949173. The reversal of 19949120 is 2194991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8915 + ... + 10925.

Almost surely, 219949120 is an apocalyptic number.

19949120 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 19949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24530304).

19949120 is an abundant number, since it is smaller than the sum of its proper divisors (29111488).

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

19949120 is a wasteful number, since it uses less digits than its factorization.

19949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 35.

The square root of 19949120 is about 4466.4437755333. The cubic root of 19949120 is about 271.2113835744.

The spelling of 19949120 in words is "nineteen million, nine hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2011 2480 4022 4960 8044 9920 10055 16088 20110 32176 40220 62341 64352 80440 124682 128704 160880 249364 311705 321760 498728 623410 643520 997456 1246820 1994912 2493640 3989824 4987280 9974560 19949120