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80961150 = 23522331757
BaseRepresentation
bin1001101001101…
…01111001111110
312122100020211010
410310311321332
5131211224100
612011140050
72002105224
oct464657176
9178306733
1080961150
1141778346
1223144626
1313a08a0a
14aa76b14
157193750
hex4d35e7e

80961150 has 96 divisors (see below), whose sum is σ = 216557568. Its totient is φ = 19958400.

The previous prime is 80961137. The next prime is 80961169. The reversal of 80961150 is 5116908.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106572 + ... + 107328.

It is an arithmetic number, because the mean of its divisors is an integer number (2255808).

Almost surely, 280961150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80961150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108278784).

80961150 is an abundant number, since it is smaller than the sum of its proper divisors (135596418).

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

80961150 is a wasteful number, since it uses less digits than its factorization.

80961150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 80961150 is about 8997.8414078044. The cubic root of 80961150 is about 432.6056854672.

The spelling of 80961150 in words is "eighty million, nine hundred sixty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 31 46 50 62 69 75 93 115 138 150 155 186 230 310 345 465 575 690 713 757 775 930 1150 1426 1514 1550 1725 2139 2271 2325 3450 3565 3785 4278 4542 4650 7130 7570 10695 11355 17411 17825 18925 21390 22710 23467 34822 35650 37850 46934 52233 53475 56775 70401 87055 104466 106950 113550 117335 140802 174110 234670 261165 352005 435275 522330 539741 586675 704010 870550 1079482 1173350 1305825 1619223 1760025 2611650 2698705 3238446 3520050 5397410 8096115 13493525 16192230 26987050 40480575 80961150