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80920320 = 2835131621
BaseRepresentation
bin1001101001010…
…11111100000000
312122021011210220
410310223330000
5131203422240
612010223040
72001545205
oct464537400
9178234726
1080920320
114174a6a8
1223124a80
13139c3260
14aa65cac
1571865d0
hex4d2bf00

80920320 has 144 divisors (see below), whose sum is σ = 278490912. Its totient is φ = 19906560.

The previous prime is 80920319. The next prime is 80920327. The reversal of 80920320 is 2302908.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80920327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49110 + ... + 50730.

Almost surely, 280920320 is an apocalyptic number.

80920320 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 80920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139245456).

80920320 is an abundant number, since it is smaller than the sum of its proper divisors (197570592).

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

80920320 is a wasteful number, since it uses less digits than its factorization.

80920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 80920320 is about 8995.5722441655. The cubic root of 80920320 is about 432.5329499215.

The spelling of 80920320 in words is "eighty million, nine hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1621 1664 1920 2080 2496 3120 3242 3328 3840 4160 4863 4992 6240 6484 8105 8320 9726 9984 12480 12968 16210 16640 19452 21073 24315 24960 25936 32420 38904 42146 48630 49920 51872 63219 64840 77808 84292 97260 103744 105365 126438 129680 155616 168584 194520 207488 210730 252876 259360 311232 316095 337168 389040 414976 421460 505752 518720 622464 632190 674336 778080 842920 1011504 1037440 1244928 1264380 1348672 1556160 1685840 2023008 2074880 2528760 2697344 3112320 3371680 4046016 5057520 5394688 6224640 6743360 8092032 10115040 13486720 16184064 20230080 26973440 40460160 80920320