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8121690 = 2325314171
BaseRepresentation
bin11110111110110101011010
3120021121212100
4132332311122
54034343230
6450024230
7126014253
oct36766532
916247770
108121690
114647a45
122878076
1318b4945
141115b2a
15aa6660
hex7bed5a

8121690 has 96 divisors (see below), whose sum is σ = 22643712. Its totient is φ = 2016000.

The previous prime is 8121689. The next prime is 8121697. The reversal of 8121690 is 961218.

It is a super-2 number, since 2×81216902 = 131923696912200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8121697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114355 + ... + 114425.

It is an arithmetic number, because the mean of its divisors is an integer number (235872).

Almost surely, 28121690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8121690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321856).

8121690 is an abundant number, since it is smaller than the sum of its proper divisors (14522022).

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

8121690 is a wasteful number, since it uses less digits than its factorization.

8121690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 8121690 is about 2849.8578911939. The cubic root of 8121690 is about 201.0089845245.

The spelling of 8121690 in words is "eight million, one hundred twenty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 41 45 62 71 82 90 93 123 142 155 186 205 213 246 279 310 355 369 410 426 465 558 615 639 710 738 930 1065 1230 1271 1278 1395 1845 2130 2201 2542 2790 2911 3195 3690 3813 4402 5822 6355 6390 6603 7626 8733 11005 11439 12710 13206 14555 17466 19065 19809 22010 22878 26199 29110 33015 38130 39618 43665 52398 57195 66030 87330 90241 99045 114390 130995 180482 198090 261990 270723 451205 541446 812169 902410 1353615 1624338 2707230 4060845 8121690