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880121772 = 2232231062949
BaseRepresentation
bin110100011101011…
…001011110101100
32021100002211002200
4310131121132230
53300302344042
6223200021500
730544624455
oct6435313654
92240084080
10880121772
11411895572
12206901890
1311045681a
1484c6412c
1552401c4c
hex347597ac

880121772 has 36 divisors (see below), whose sum is σ = 2321482800. Its totient is φ = 280618272.

The previous prime is 880121761. The next prime is 880121779. The reversal of 880121772 is 277121088.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×8801217723 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (880121779) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 530647 + ... + 532302.

Almost surely, 2880121772 is an apocalyptic number.

It is an amenable number.

880121772 is an abundant number, since it is smaller than the sum of its proper divisors (1441361028).

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

880121772 is a wasteful number, since it uses less digits than its factorization.

880121772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062982 (or 1062977 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 880121772 is about 29666.8463440252. The cubic root of 880121772 is about 958.3281709480.

The spelling of 880121772 in words is "eight hundred eighty million, one hundred twenty-one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1062949 2125898 3188847 4251796 6377694 9566541 12755388 19133082 24447827 38266164 48895654 73343481 97791308 146686962 220030443 293373924 440060886 880121772