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80791128 = 23331137919
BaseRepresentation
bin1001101000011…
…00011001011000
312122000121121000
410310030121120
5131140304003
612003345000
72000466435
oct464143130
9178017530
1080791128
1141671630
1223082160
1313979502
14aa30b8c
15715d1a3
hex4d0c658

80791128 has 128 divisors (see below), whose sum is σ = 251712000. Its totient is φ = 23794560.

The previous prime is 80791103. The next prime is 80791141. The reversal of 80791128 is 82119708.

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 junction number, because it is equal to n+sod(n) for n = 80791092 and 80791101.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 87453 + ... + 88371.

It is an arithmetic number, because the mean of its divisors is an integer number (1966500).

Almost surely, 280791128 is an apocalyptic number.

80791128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80791128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125856000).

80791128 is an abundant number, since it is smaller than the sum of its proper divisors (170920872).

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

80791128 is a wasteful number, since it uses less digits than its factorization.

80791128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 80791128 is about 8988.3885096273. The cubic root of 80791128 is about 432.3026428686.

The spelling of 80791128 in words is "eighty million, seven hundred ninety-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 37 44 54 66 72 74 88 99 108 111 132 148 198 216 222 264 296 297 333 396 407 444 594 666 792 814 888 919 999 1188 1221 1332 1628 1838 1998 2376 2442 2664 2757 3256 3663 3676 3996 4884 5514 7326 7352 7992 8271 9768 10109 10989 11028 14652 16542 20218 21978 22056 24813 29304 30327 33084 34003 40436 43956 49626 60654 66168 68006 80872 87912 90981 99252 102009 121308 136012 181962 198504 204018 242616 272024 272943 306027 363924 374033 408036 545886 612054 727848 748066 816072 918081 1091772 1122099 1224108 1496132 1836162 2183544 2244198 2448216 2992264 3366297 3672324 4488396 6732594 7344648 8976792 10098891 13465188 20197782 26930376 40395564 80791128