Search a number
-
+
2019948 = 2237139173
BaseRepresentation
bin111101101001001101100
310210121211220
413231021230
51004114243
6111143340
723112030
oct7551154
93717756
102019948
11115a687
12814b50
13559548
143a81c0
1529d783
hex1ed26c

2019948 has 48 divisors (see below), whose sum is σ = 5456640. Its totient is φ = 569664.

The previous prime is 2019931. The next prime is 2019959. The reversal of 2019948 is 8499102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11590 + ... + 11762.

It is an arithmetic number, because the mean of its divisors is an integer number (113680).

22019948 is an apocalyptic number.

2019948 is a gapful number since it is divisible by the number (28) 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 2019948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728320).

2019948 is an abundant number, since it is smaller than the sum of its proper divisors (3436692).

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

2019948 is a wasteful number, since it uses less digits than its factorization.

2019948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 2019948 is about 1421.2487467013. The cubic root of 2019948 is about 126.4096017649.

The spelling of 2019948 in words is "two million, nineteen thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 139 173 278 346 417 519 556 692 834 973 1038 1211 1668 1946 2076 2422 2919 3633 3892 4844 5838 7266 11676 14532 24047 48094 72141 96188 144282 168329 288564 336658 504987 673316 1009974 2019948