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80120736 = 25322953181
BaseRepresentation
bin1001100011010…
…00101110100000
312120202112222200
410301220232200
5131002330421
611541133200
71662005103
oct461505640
9176675880
1080120736
1141253993
12229ba200
13137a3327
14a8d873a
157079726
hex4c68ba0

80120736 has 144 divisors (see below), whose sum is σ = 241473960. Its totient is φ = 25159680.

The previous prime is 80120723. The next prime is 80120741. The reversal of 80120736 is 63702108.

It can be written as a sum of positive squares in 4 ways, for example, as 54110736 + 26010000 = 7356^2 + 5100^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442566 + ... + 442746.

Almost surely, 280120736 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 80120736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120736980).

80120736 is an abundant number, since it is smaller than the sum of its proper divisors (161353224).

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

80120736 is a wasteful number, since it uses less digits than its factorization.

80120736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 80120736 is about 8951.0187129734. The cubic root of 80120736 is about 431.1035939062.

The spelling of 80120736 in words is "eighty million, one hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 53 58 72 87 96 106 116 144 159 174 181 212 232 261 288 318 348 362 424 464 477 522 543 636 696 724 848 928 954 1044 1086 1272 1392 1448 1537 1629 1696 1908 2088 2172 2544 2784 2896 3074 3258 3816 4176 4344 4611 5088 5249 5792 6148 6516 7632 8352 8688 9222 9593 10498 12296 13032 13833 15264 15747 17376 18444 19186 20996 24592 26064 27666 28779 31494 36888 38372 41992 47241 49184 52128 55332 57558 62988 73776 76744 83984 86337 94482 110664 115116 125976 147552 153488 167968 172674 188964 221328 230232 251952 278197 306976 345348 377928 442656 460464 503904 556394 690696 755856 834591 920928 1112788 1381392 1511712 1669182 2225576 2503773 2762784 3338364 4451152 5007546 6676728 8902304 10015092 13353456 20030184 26706912 40060368 80120736