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8074980 = 22325113397
BaseRepresentation
bin11110110011011011100100
3120012020210100
4132303123210
54031344410
6445024100
7125431134
oct36633344
916166710
108074980
114615941
122855030
1318995c4
141102ac4
15a978c0
hex7b36e4

8074980 has 72 divisors (see below), whose sum is σ = 24773112. Its totient is φ = 2128896.

The previous prime is 8074967. The next prime is 8074993. The reversal of 8074980 is 894708.

It is an interprime number because it is at equal distance from previous prime (8074967) and next prime (8074993).

It can be written as a sum of positive squares in 4 ways, for example, as 54756 + 8020224 = 234^2 + 2832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20142 + ... + 20538.

It is an arithmetic number, because the mean of its divisors is an integer number (344071).

Almost surely, 28074980 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 8074980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12386556).

8074980 is an abundant number, since it is smaller than the sum of its proper divisors (16698132).

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

8074980 is a wasteful number, since it uses less digits than its factorization.

8074980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8074980 is about 2841.6509285977. The cubic root of 8074980 is about 200.6228913512.

The spelling of 8074980 in words is "eight million, seventy-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 397 452 565 678 794 1017 1130 1191 1356 1588 1695 1985 2034 2260 2382 3390 3573 3970 4068 4764 5085 5955 6780 7146 7940 10170 11910 14292 17865 20340 23820 35730 44861 71460 89722 134583 179444 224305 269166 403749 448610 538332 672915 807498 897220 1345830 1614996 2018745 2691660 4037490 8074980