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80505740 = 22572979251
BaseRepresentation
bin1001100110001…
…10101110001100
312121111010010002
410303012232030
5131102140430
611553303432
71665200420
oct463065614
9177433102
1080505740
1141497177
1222b64b78
13138a9643
14a998b80
157103845
hex4cc6b8c

80505740 has 96 divisors (see below), whose sum is σ = 203212800. Its totient is φ = 26208000.

The previous prime is 80505697. The next prime is 80505749. The reversal of 80505740 is 4750508.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (80505749) 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 31 ways as a sum of consecutive naturals, for example, 320615 + ... + 320865.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 280505740 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 80505740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

80505740 is an abundant number, since it is smaller than the sum of its proper divisors (122707060).

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

80505740 is a wasteful number, since it uses less digits than its factorization.

80505740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 80505740 is about 8972.4990944552. The cubic root of 80505740 is about 431.7930178436.

The spelling of 80505740 in words is "eighty million, five hundred five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 79 116 140 145 158 203 251 290 316 395 406 502 553 580 790 812 1004 1015 1106 1255 1580 1757 2030 2212 2291 2510 2765 3514 4060 4582 5020 5530 7028 7279 8785 9164 11060 11455 14558 16037 17570 19829 22910 29116 32074 35140 36395 39658 45820 50953 64148 72790 79316 80185 99145 101906 138803 145580 160370 198290 203812 254765 277606 320740 396580 509530 555212 575041 694015 1019060 1150082 1388030 2300164 2776060 2875205 4025287 5750410 8050574 11500820 16101148 20126435 40252870 80505740