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1028649960 = 2332513219797
BaseRepresentation
bin111101010011111…
…111001111101000
32122200120211110200
4331103333033220
54101313244320
6250023312200
734330244322
oct7523771750
92580524420
101028649960
11488711a38
122485ab660
1313515b820
149a888612
1560490290
hex3d4ff3e8

1028649960 has 96 divisors (see below), whose sum is σ = 3600291240. Its totient is φ = 253204992.

The previous prime is 1028649899. The next prime is 1028649989. The reversal of 1028649960 is 699468201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 259918884 + 768731076 = 16122^2 + 27726^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105219 + ... + 114578.

Almost surely, 21028649960 is an apocalyptic number.

1028649960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1028649960 is an abundant number, since it is smaller than the sum of its proper divisors (2571641280).

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

1028649960 is a wasteful number, since it uses less digits than its factorization.

1028649960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219827 (or 219820 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1028649960 is about 32072.5733298717. The cubic root of 1028649960 is about 1009.4602088987.

The spelling of 1028649960 in words is "one billion, twenty-eight million, six hundred forty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 219797 439594 659391 879188 1098985 1318782 1758376 1978173 2197970 2637564 2857361 3296955 3956346 4395940 5275128 5714722 6593910 7912692 8572083 8791880 9890865 11429444 13187820 14286805 15825384 17144166 19781730 22858888 25716249 26375640 28573610 34288332 39563460 42860415 51432498 57147220 68576664 79126920 85720830 102864996 114294440 128581245 171441660 205729992 257162490 342883320 514324980 1028649960