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993145740 = 223533749117
BaseRepresentation
bin111011001100100…
…011001110001100
32120012210000211120
4323030203032030
54013221130430
6242314320540
733416412426
oct7314431614
92505700746
10993145740
1146a672104
12238729150
1312a9aa402
1495c85816
155c2ca610
hex3b32338c

993145740 has 48 divisors (see below), whose sum is σ = 2789116512. Its totient is φ = 264047616.

The previous prime is 993145739. The next prime is 993145787. The reversal of 993145740 is 47541399.

993145740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 993145692 and 993145701.

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, 4339 + ... + 44778.

It is an arithmetic number, because the mean of its divisors is an integer number (58106594).

Almost surely, 2993145740 is an apocalyptic number.

It is an amenable number.

993145740 is an abundant number, since it is smaller than the sum of its proper divisors (1795970772).

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

993145740 is a wasteful number, since it uses less digits than its factorization.

993145740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49466 (or 49464 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 993145740 is about 31514.2148878883. The cubic root of 993145740 is about 997.7100065999.

The spelling of 993145740 in words is "nine hundred ninety-three million, one hundred forty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 337 674 1011 1348 1685 2022 3370 4044 5055 6740 10110 20220 49117 98234 147351 196468 245585 294702 491170 589404 736755 982340 1473510 2947020 16552429 33104858 49657287 66209716 82762145 99314574 165524290 198629148 248286435 331048580 496572870 993145740