Search a number
-
+
1055279874 = 2311193672293
BaseRepresentation
bin111110111001100…
…100101100000010
32201112200202211210
4332321210230002
54130122423444
6252414150550
735102505465
oct7671445402
92645622753
101055279874
114a1750430
122554b2456
1313a82387c
14a021b2dc
15629a07b9
hex3ee64b02

1055279874 has 64 divisors (see below), whose sum is σ = 2431272960. Its totient is φ = 301993920.

The previous prime is 1055279851. The next prime is 1055279909. The reversal of 1055279874 is 4789725501.

1055279874 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10552798742 = 2227231224938911752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459072 + ... + 461364.

It is an arithmetic number, because the mean of its divisors is an integer number (37988640).

Almost surely, 21055279874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055279874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215636480).

1055279874 is an abundant number, since it is smaller than the sum of its proper divisors (1375993086).

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

1055279874 is a wasteful number, since it uses less digits than its factorization.

1055279874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695.

The product of its (nonzero) digits is 705600, while the sum is 48.

The square root of 1055279874 is about 32485.0715560240. The cubic root of 1055279874 is about 1018.0971424572.

The spelling of 1055279874 in words is "one billion, fifty-five million, two hundred seventy-nine thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 367 418 627 734 1101 1254 2202 2293 4037 4586 6879 6973 8074 12111 13758 13946 20919 24222 25223 41838 43567 50446 75669 76703 87134 130701 151338 153406 230109 261402 460218 479237 841531 958474 1437711 1683062 2524593 2875422 5049186 9256841 15989089 18513682 27770523 31978178 47967267 55541046 95934534 175879979 351759958 527639937 1055279874