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123133296 = 243111317939
BaseRepresentation
bin1110101011011…
…01110101110000
322120200211010110
413111231311300
5223010231141
620115101320
73023421126
oct725556560
9276624113
10123133296
1163561960
12352a1840
131c683150
14124d3916
15ac23e16
hex756dd70

123133296 has 80 divisors (see below), whose sum is σ = 373726080. Its totient is φ = 34440960.

The previous prime is 123133273. The next prime is 123133301. The reversal of 123133296 is 692331321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2106 + ... + 15833.

It is an arithmetic number, because the mean of its divisors is an integer number (4671576).

Almost surely, 2123133296 is an apocalyptic number.

123133296 is a gapful number since it is divisible by the number (16) 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 123133296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186863040).

123133296 is an abundant number, since it is smaller than the sum of its proper divisors (250592784).

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

123133296 is a wasteful number, since it uses less digits than its factorization.

123133296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17974 (or 17968 counting only the distinct ones).

The product of its digits is 5832, while the sum is 30.

The square root of 123133296 is about 11096.5443269515. The cubic root of 123133296 is about 497.4985678772.

The spelling of 123133296 in words is "one hundred twenty-three million, one hundred thirty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 17939 35878 53817 71756 107634 143512 197329 215268 233207 287024 394658 430536 466414 591987 699621 789316 861072 932828 1183974 1399242 1578632 1865656 2367948 2565277 2798484 3157264 3731312 4735896 5130554 5596968 7695831 9471792 10261108 11193936 15391662 20522216 30783324 41044432 61566648 123133296