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4119920 = 245721051
BaseRepresentation
bin1111101101110101110000
321202022110122
433231311300
52023314140
6224145412
750006300
oct17556560
97668418
104119920
1123643a2
121468268
13b1332c
14793600
15565ab5
hex3edd70

4119920 has 60 divisors (see below), whose sum is σ = 11153304. Its totient is φ = 1411200.

The previous prime is 4119919. The next prime is 4119923. The reversal of 4119920 is 299114.

4119920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4119920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4119923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3395 + ... + 4445.

Almost surely, 24119920 is an apocalyptic number.

4119920 is a gapful number since it is divisible by the number (40) 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 4119920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576652).

4119920 is an abundant number, since it is smaller than the sum of its proper divisors (7033384).

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

4119920 is a wasteful number, since it uses less digits than its factorization.

4119920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 4119920 is about 2029.7586063372. The cubic root of 4119920 is about 160.3108540034.

The spelling of 4119920 in words is "four million, one hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1051 1960 2102 3920 4204 5255 7357 8408 10510 14714 16816 21020 29428 36785 42040 51499 58856 73570 84080 102998 117712 147140 205996 257495 294280 411992 514990 588560 823984 1029980 2059960 4119920