Search a number
-
+
1428260960 = 25575324061
BaseRepresentation
bin101010100100001…
…1000100001100000
310200112112011201002
41111020120201200
510411113322320
6353420331132
750252006060
oct12510304140
93615464632
101428260960
11673241665
1233a3a3aa8
13199b95039
14d798b3a0
15855c8675
hex55218860

1428260960 has 96 divisors (see below), whose sum is σ = 3929228352. Its totient is φ = 480430080.

The previous prime is 1428260947. The next prime is 1428260971. The reversal of 1428260960 is 690628241.

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, 47330 + ... + 71390.

It is an arithmetic number, because the mean of its divisors is an integer number (40929462).

Almost surely, 21428260960 is an apocalyptic number.

1428260960 is a gapful number since it is divisible by the number (10) 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 1428260960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964614176).

1428260960 is an abundant number, since it is smaller than the sum of its proper divisors (2500967392).

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

1428260960 is a wasteful number, since it uses less digits than its factorization.

1428260960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24136 (or 24128 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 1428260960 is about 37792.3399646013. The cubic root of 1428260960 is about 1126.1662861326.

The spelling of 1428260960 in words is "one billion, four hundred twenty-eight million, two hundred sixty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 70 80 106 112 140 160 212 224 265 280 371 424 530 560 742 848 1060 1120 1484 1696 1855 2120 2968 3710 4240 5936 7420 8480 11872 14840 24061 29680 48122 59360 96244 120305 168427 192488 240610 336854 384976 481220 673708 769952 842135 962440 1275233 1347416 1684270 1924880 2550466 2694832 3368540 3849760 5100932 5389664 6376165 6737080 8926631 10201864 12752330 13474160 17853262 20403728 25504660 26948320 35706524 40807456 44633155 51009320 71413048 89266310 102018640 142826096 178532620 204037280 285652192 357065240 714130480 1428260960