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993926120 = 235113895807
BaseRepresentation
bin111011001111100…
…001101111101000
32120021020200022112
4323033201233220
54013421113440
6242343141452
733426142535
oct7317415750
92507220275
10993926120
11470055450
12238a44888
1312abc1685
1496009d8c
155c3d1965
hex3b3e1be8

993926120 has 64 divisors (see below), whose sum is σ = 2446329600. Its totient is φ = 360436480.

The previous prime is 993926113. The next prime is 993926147. The reversal of 993926120 is 21629399.

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, 168257 + ... + 174063.

It is an arithmetic number, because the mean of its divisors is an integer number (38223900).

Almost surely, 2993926120 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 993926120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223164800).

993926120 is an abundant number, since it is smaller than the sum of its proper divisors (1452403480).

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

993926120 is a wasteful number, since it uses less digits than its factorization.

993926120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6218 (or 6214 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 41.

The square root of 993926120 is about 31526.5938534438. The cubic root of 993926120 is about 997.9712603320.

The spelling of 993926120 in words is "nine hundred ninety-three million, nine hundred twenty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 389 440 778 1556 1945 3112 3890 4279 5807 7780 8558 11614 15560 17116 21395 23228 29035 34232 42790 46456 58070 63877 85580 116140 127754 171160 232280 255508 319385 511016 638770 1277540 2258923 2555080 4517846 9035692 11294615 18071384 22589230 24848153 45178460 49696306 90356920 99392612 124240765 198785224 248481530 496963060 993926120