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80109792 = 2532779503
BaseRepresentation
bin1001100011001…
…10000011100000
312120201222222100
410301212003200
5131002003132
611541010400
71661631150
oct461460340
9176658870
1080109792
1141246744
12229b3a00
131379b359
14a8d4760
15707637c
hex4c660e0

80109792 has 144 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 22553856.

The previous prime is 80109781. The next prime is 80109811. The reversal of 80109792 is 29790108.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

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, 159013 + ... + 159515.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 280109792 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 80109792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

80109792 is an abundant number, since it is smaller than the sum of its proper divisors (184066848).

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

80109792 is a wasteful number, since it uses less digits than its factorization.

80109792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 80109792 is about 8950.4073650309. The cubic root of 80109792 is about 431.0839643121.

The spelling of 80109792 in words is "eighty million, one hundred nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 79 84 96 112 126 144 158 168 224 237 252 288 316 336 474 503 504 553 632 672 711 948 1006 1008 1106 1264 1422 1509 1659 1896 2012 2016 2212 2528 2844 3018 3318 3521 3792 4024 4424 4527 4977 5688 6036 6636 7042 7584 8048 8848 9054 9954 10563 11376 12072 13272 14084 16096 17696 18108 19908 21126 22752 24144 26544 28168 31689 36216 39737 39816 42252 48288 53088 56336 63378 72432 79474 79632 84504 112672 119211 126756 144864 158948 159264 169008 238422 253512 278159 317896 338016 357633 476844 507024 556318 635792 715266 834477 953688 1014048 1112636 1271584 1430532 1668954 1907376 2225272 2503431 2861064 3337908 3814752 4450544 5006862 5722128 6675816 8901088 10013724 11444256 13351632 20027448 26703264 40054896 80109792