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1993423120 = 245131916753
BaseRepresentation
bin111011011010001…
…0011100100010000
312010220222101102221
41312310103210100
513040304014440
6525445550424
7100253550133
oct16664234420
95126871387
101993423120
11933265327
12477715414
13259cb3910
1414ca6621a
15ba013d4a
hex76d13910

1993423120 has 40 divisors (see below), whose sum is σ = 4991227416. Its totient is φ = 736032768.

The previous prime is 1993423099. The next prime is 1993423139. The reversal of 1993423120 is 213243991.

It can be written as a sum of positive squares in 4 ways, for example, as 3549456 + 1989873664 = 1884^2 + 44608^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 957337 + ... + 959416.

Almost surely, 21993423120 is an apocalyptic number.

1993423120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1993423120 is an abundant number, since it is smaller than the sum of its proper divisors (2997804296).

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

1993423120 is a wasteful number, since it uses less digits than its factorization.

1993423120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916779 (or 1916773 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 1993423120 is about 44647.7672454066. The cubic root of 1993423120 is about 1258.5384750216.

The spelling of 1993423120 in words is "one billion, nine hundred ninety-three million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1916753 3833506 7667012 9583765 15334024 19167530 24917789 30668048 38335060 49835578 76670120 99671156 124588945 153340240 199342312 249177890 398684624 498355780 996711560 1993423120