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80117124 = 22317433907
BaseRepresentation
bin1001100011001…
…11110110000100
312120202101000220
410301213312010
5131002221444
611541104340
71661661423
oct461476604
9176671026
1080117124
11412511aa
12229b80b0
13137a17a9
14a8d72ba
157078619
hex4c67d84

80117124 has 48 divisors (see below), whose sum is σ = 198612288. Its totient is φ = 25049088.

The previous prime is 80117123. The next prime is 80117131. The reversal of 80117124 is 42171108.

It is a junction number, because it is equal to n+sod(n) for n = 80117094 and 80117103.

It is not an unprimeable number, because it can be changed into a prime (80117123) 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 15 ways as a sum of consecutive naturals, for example, 87879 + ... + 88785.

It is an arithmetic number, because the mean of its divisors is an integer number (4137756).

Almost surely, 280117124 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 80117124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99306144).

80117124 is an abundant number, since it is smaller than the sum of its proper divisors (118495164).

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

80117124 is a wasteful number, since it uses less digits than its factorization.

80117124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 80117124 is about 8950.8169459553. The cubic root of 80117124 is about 431.0971154768.

The spelling of 80117124 in words is "eighty million, one hundred seventeen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 433 866 907 1299 1732 1814 2598 2721 3628 5196 5442 7361 10884 14722 15419 22083 29444 30838 44166 46257 61676 88332 92514 185028 392731 785462 1178193 1570924 2356386 4712772 6676427 13352854 20029281 26705708 40058562 80117124