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8680920210 = 2325477572711
BaseRepresentation
bin10000001010110110…
…00101010010010010
3211101222200102211100
420011123011102102
5120234303421320
63553222125230
7425056414164
oct100533052222
924358612740
108680920210
113755175926
121823280816
13a84631ba1
145c4cb6934
1535c19e790
hex2056c5492

8680920210 has 96 divisors (see below), whose sum is σ = 23089577472. Its totient is φ = 2261831040.

The previous prime is 8680920179. The next prime is 8680920211. The reversal of 8680920210 is 120290868.

It is not an unprimeable number, because it can be changed into a prime (8680920211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3200755 + ... + 3203465.

It is an arithmetic number, because the mean of its divisors is an integer number (240516432).

Almost surely, 28680920210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8680920210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11544788736).

8680920210 is an abundant number, since it is smaller than the sum of its proper divisors (14408657262).

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

8680920210 is a wasteful number, since it uses less digits than its factorization.

8680920210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8680920210 is about 93171.4559830424. The cubic root of 8680920210 is about 2055.2055062920.

The spelling of 8680920210 in words is "eight billion, six hundred eighty million, nine hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 757 846 1410 1514 2115 2271 2711 3785 4230 4542 5422 6813 7570 8133 11355 13555 13626 16266 22710 24399 27110 34065 35579 40665 48798 68130 71158 81330 106737 121995 127417 177895 213474 243990 254834 320211 355790 382251 533685 637085 640422 764502 1067370 1146753 1274170 1601055 1911255 2052227 2293506 3202110 3822510 4104454 5733765 6156681 10261135 11467530 12313362 18470043 20522270 30783405 36940086 61566810 92350215 96454669 184700430 192909338 289364007 482273345 578728014 868092021 964546690 1446820035 1736184042 2893640070 4340460105 8680920210