Search a number
-
+
4054960 = 245713557
BaseRepresentation
bin1111011101111110110000
321122000100201
433131332300
52014224320
6222524544
746316020
oct17357660
97560321
104054960
11231a608
121436754
13abc8b0
14777a80
1555170a
hex3ddfb0

4054960 has 80 divisors (see below), whose sum is σ = 11624256. Its totient is φ = 1281024.

The previous prime is 4054957. The next prime is 4054987. The reversal of 4054960 is 694504.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 7002 + ... + 7558.

Almost surely, 24054960 is an apocalyptic number.

4054960 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 4054960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812128).

4054960 is an abundant number, since it is smaller than the sum of its proper divisors (7569296).

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

4054960 is a wasteful number, since it uses less digits than its factorization.

4054960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 4054960 is about 2013.6931245848. The cubic root of 4054960 is about 159.4638302696.

The spelling of 4054960 in words is "four million, fifty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 557 560 728 910 1040 1114 1456 1820 2228 2785 3640 3899 4456 5570 7241 7280 7798 8912 11140 14482 15596 19495 22280 28964 31192 36205 38990 44560 50687 57928 62384 72410 77980 101374 115856 144820 155960 202748 253435 289640 311920 405496 506870 579280 810992 1013740 2027480 4054960