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80738820 = 223251572857
BaseRepresentation
bin1001100111111…
…11101000000100
312121220221211200
410303333220010
5131132120240
612002302500
72000161101
oct463775004
9177827750
1080738820
11416362a8
1223057a30
131395b766
14aa19aa8
15714c930
hex4cffa04

80738820 has 72 divisors (see below), whose sum is σ = 246553944. Its totient is φ = 21385728.

The previous prime is 80738789. The next prime is 80738873. The reversal of 80738820 is 2883708.

It can be written as a sum of positive squares in 4 ways, for example, as 7225344 + 73513476 = 2688^2 + 8574^2 .

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, 26832 + ... + 29688.

Almost surely, 280738820 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 80738820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123276972).

80738820 is an abundant number, since it is smaller than the sum of its proper divisors (165815124).

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

80738820 is a wasteful number, since it uses less digits than its factorization.

80738820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3029 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 80738820 is about 8985.4782844321. The cubic root of 80738820 is about 432.2093249958.

The spelling of 80738820 in words is "eighty million, seven hundred thirty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 785 942 1413 1570 1884 2355 2826 2857 3140 4710 5652 5714 7065 8571 9420 11428 14130 14285 17142 25713 28260 28570 34284 42855 51426 57140 85710 102852 128565 171420 257130 448549 514260 897098 1345647 1794196 2242745 2691294 4036941 4485490 5382588 6728235 8073882 8970980 13456470 16147764 20184705 26912940 40369410 80738820