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1030285088 = 25729199797
BaseRepresentation
bin111101011010001…
…110011100100000
32122210122220102222
4331122032130200
54102223110323
6250122330212
734350164420
oct7532163440
92583586388
101030285088
11489629488
12249059968
131355b1b61
149ab92480
15606b49c8
hex3d68e720

1030285088 has 96 divisors (see below), whose sum is σ = 2413152000. Its totient is φ = 423650304.

The previous prime is 1030285049. The next prime is 1030285103. The reversal of 1030285088 is 8805820301.

1030285088 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 2×10302850882 = 2122974725110335488, which contains 22 as substring.

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, 1292306 + ... + 1293102.

It is an arithmetic number, because the mean of its divisors is an integer number (25137000).

Almost surely, 21030285088 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 1030285088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206576000).

1030285088 is an abundant number, since it is smaller than the sum of its proper divisors (1382866912).

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

1030285088 is a wasteful number, since it uses less digits than its factorization.

1030285088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 1030285088 is about 32098.0542712483. The cubic root of 1030285088 is about 1009.9948004830.

The spelling of 1030285088 in words is "one billion, thirty million, two hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 199 203 224 232 398 406 464 796 797 812 928 1393 1592 1594 1624 2786 3184 3188 3248 5572 5579 5771 6368 6376 6496 11144 11158 11542 12752 22288 22316 23084 23113 25504 40397 44576 44632 46168 46226 80794 89264 92336 92452 158603 161588 161791 178528 184672 184904 317206 323176 323582 369808 634412 646352 647164 739616 1110221 1268824 1292704 1294328 2220442 2537648 2588656 4440884 4599487 5075296 5177312 8881768 9198974 17763536 18397948 32196409 35527072 36795896 64392818 73591792 128785636 147183584 257571272 515142544 1030285088