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9029080680 = 23354113114009
BaseRepresentation
bin10000110100010110…
…01101011001101000
3212022020210211012120
420122023031121220
5121442421040210
64051540311240
7436514630244
oct103213153150
925266724176
109029080680
113913753a54
1218bb9a2520
13b0b7c29b9
14619225424
1537ca23270
hex21a2cd668

9029080680 has 128 divisors (see below), whose sum is σ = 27961718400. Its totient is φ = 2330931200.

The previous prime is 9029080667. The next prime is 9029080729. The reversal of 9029080680 is 860809209.

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, 637516 + ... + 651524.

It is an arithmetic number, because the mean of its divisors is an integer number (218450925).

Almost surely, 29029080680 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 9029080680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13980859200).

9029080680 is an abundant number, since it is smaller than the sum of its proper divisors (18932637720).

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

9029080680 is a wasteful number, since it uses less digits than its factorization.

9029080680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14195 (or 14191 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 9029080680 is about 95021.4748359548. The cubic root of 9029080680 is about 2082.3217940508.

Adding to 9029080680 its reverse (860809209), we get a palindrome (9889889889).

The spelling of 9029080680 in words is "nine billion, twenty-nine million, eighty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 131 164 205 246 262 328 393 410 492 524 615 655 786 820 984 1048 1230 1310 1572 1640 1965 2460 2620 3144 3930 4920 5240 5371 7860 10742 14009 15720 16113 21484 26855 28018 32226 42027 42968 53710 56036 64452 70045 80565 84054 107420 112072 128904 140090 161130 168108 210135 214840 280180 322260 336216 420270 560360 574369 644520 840540 1148738 1681080 1723107 1835179 2297476 2871845 3446214 3670358 4594952 5505537 5743690 6892428 7340716 8615535 9175895 11011074 11487380 13784856 14681432 17231070 18351790 22022148 22974760 27527685 34462140 36703580 44044296 55055370 68924280 73407160 75242339 110110740 150484678 220221480 225727017 300969356 376211695 451454034 601938712 752423390 902908068 1128635085 1504846780 1805816136 2257270170 3009693560 4514540340 9029080680