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80087680 = 275172433
BaseRepresentation
bin1001100011000…
…00101010000000
312120200212122101
410301200222000
5131000301210
611540320144
71661506531
oct461405200
9176625571
1080087680
1141231072
12229a3054
131379127a
14a8ca688
15706ea3a
hex4c60a80

80087680 has 96 divisors (see below), whose sum is σ = 203854140. Its totient is φ = 30081024.

The previous prime is 80087659. The next prime is 80087699. The reversal of 80087680 is 8678008.

It can be written as a sum of positive squares in 6 ways, for example, as 40246336 + 39841344 = 6344^2 + 6312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184744 + ... + 185176.

Almost surely, 280087680 is an apocalyptic number.

80087680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101927070).

80087680 is an abundant number, since it is smaller than the sum of its proper divisors (123766460).

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

80087680 is a wasteful number, since it uses less digits than its factorization.

80087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 80087680 is about 8949.1720287410. The cubic root of 80087680 is about 431.0442978929.

The spelling of 80087680 in words is "eighty million, eighty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 289 320 340 433 544 578 640 680 866 1088 1156 1360 1445 1732 2165 2176 2312 2720 2890 3464 4330 4624 5440 5780 6928 7361 8660 9248 10880 11560 13856 14722 17320 18496 23120 27712 29444 34640 36805 36992 46240 55424 58888 69280 73610 92480 117776 125137 138560 147220 184960 235552 250274 277120 294440 471104 500548 588880 625685 942208 1001096 1177760 1251370 2002192 2355520 2502740 4004384 4711040 5005480 8008768 10010960 16017536 20021920 40043840 80087680