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8422680 = 2335737271
BaseRepresentation
bin100000001000…
…010100011000
3120211220202010
4200020110120
54124011210
6500305520
7131406630
oct40102430
916756663
108422680
1148330a2
1229a22a0
13198b946
1411936c0
15b15920
hex808518

8422680 has 128 divisors (see below), whose sum is σ = 29767680. Its totient is φ = 1866240.

The previous prime is 8422649. The next prime is 8422691. The reversal of 8422680 is 862248.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 83 + 43 + 215 + 223 + 63 + 83 + 0 .

It is a congruent number.

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, 30945 + ... + 31215.

It is an arithmetic number, because the mean of its divisors is an integer number (232560).

Almost surely, 28422680 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 8422680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14883840).

8422680 is an abundant number, since it is smaller than the sum of its proper divisors (21345000).

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

8422680 is a wasteful number, since it uses less digits than its factorization.

8422680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 8422680 is about 2902.1853834654. The cubic root of 8422680 is about 203.4620582975.

The spelling of 8422680 in words is "eight million, four hundred twenty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 271 280 296 370 420 444 518 542 555 740 777 813 840 888 1036 1084 1110 1295 1355 1480 1554 1626 1897 2072 2168 2220 2590 2710 3108 3252 3794 3885 4065 4440 5180 5420 5691 6216 6504 7588 7770 8130 9485 10027 10360 10840 11382 15176 15540 16260 18970 20054 22764 28455 30081 31080 32520 37940 40108 45528 50135 56910 60162 70189 75880 80216 100270 113820 120324 140378 150405 200540 210567 227640 240648 280756 300810 350945 401080 421134 561512 601620 701890 842268 1052835 1203240 1403780 1684536 2105670 2807560 4211340 8422680