Search a number
-
+
2619420672 = 21231119379
BaseRepresentation
bin1001110000100001…
…0011000000000000
320202112220100122110
42130020103000000
520331032430142
61111531135320
7121624464651
oct23410230000
96675810573
102619420672
11112465a580
126112a4540
133298b277b
141abc59528
15104e6999c
hex9c213000

2619420672 has 104 divisors (see below), whose sum is σ = 7619595840. Its totient is φ = 793722880.

The previous prime is 2619420659. The next prime is 2619420691. The reversal of 2619420672 is 2760249162.

It is a super-2 number, since 2×26194206722 = 13722729313801863168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2619420672.

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, 125479 + ... + 144857.

Almost surely, 22619420672 is an apocalyptic number.

2619420672 is a gapful number since it is divisible by the number (22) 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 2619420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809797920).

2619420672 is an abundant number, since it is smaller than the sum of its proper divisors (5000175168).

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

2619420672 is a wasteful number, since it uses less digits than its factorization.

2619420672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19417 (or 19395 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2619420672 is about 51180.2762008960. The cubic root of 2619420672 is about 1378.4840652389.

The spelling of 2619420672 in words is "two billion, six hundred nineteen million, four hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4096 4224 5632 6144 8448 11264 12288 16896 19379 22528 33792 38758 45056 58137 67584 77516 116274 135168 155032 213169 232548 310064 426338 465096 620128 639507 852676 930192 1240256 1279014 1705352 1860384 2480512 2558028 3410704 3720768 4961024 5116056 6821408 7441536 9922048 10232112 13642816 14883072 19844096 20464224 27285632 29766144 39688192 40928448 54571264 59532288 79376384 81856896 109142528 119064576 163713792 218285056 238129152 327427584 436570112 654855168 873140224 1309710336 2619420672