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1030782116 = 2271331167547
BaseRepresentation
bin111101011100000…
…111110010100100
32122211121011020102
4331130013302210
54102340011431
6250141123232
734354334450
oct7534076244
92584534212
101030782116
11489938951
12249259518
13135727160
149ac81660
1560761dcb
hex3d707ca4

1030782116 has 96 divisors (see below), whose sum is σ = 2309701632. Its totient is φ = 391547520.

The previous prime is 1030782113. The next prime is 1030782133. The reversal of 1030782116 is 6112870301.

It is not an unprimeable number, because it can be changed into a prime (1030782113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1884155 + ... + 1884701.

It is an arithmetic number, because the mean of its divisors is an integer number (24059392).

Almost surely, 21030782116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030782116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154850816).

1030782116 is an abundant number, since it is smaller than the sum of its proper divisors (1278919516).

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

1030782116 is a wasteful number, since it uses less digits than its factorization.

1030782116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 1030782116 is about 32105.7956761704. The cubic root of 1030782116 is about 1010.1571875735.

The spelling of 1030782116 in words is "one billion, thirty million, seven hundred eighty-two thousand, one hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 167 182 217 334 364 403 434 547 668 806 868 1094 1169 1612 2171 2188 2338 2821 3829 4342 4676 5177 5642 7111 7658 8684 10354 11284 14222 15197 15316 16957 20708 28444 30394 33914 36239 49777 60788 67301 67828 72478 91349 99554 118699 134602 144956 182698 199108 220441 237398 269204 365396 440882 471107 474796 639443 881764 942214 1187537 1278886 1543087 1884428 2375074 2557772 2831819 3086174 4750148 5663638 6172348 8312759 11327276 16625518 19822733 33251036 36813647 39645466 73627294 79290932 147254588 257695529 515391058 1030782116