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2993960 = 23529289
BaseRepresentation
bin1011011010111100101000
312122002221102
423122330220
51231301320
6144100532
734306514
oct13327450
95562842
102993960
111765452
121004748
1380a998
1457d144
153e2175
hex2daf28

2993960 has 48 divisors (see below), whose sum is σ = 7055100. Its totient is φ = 1143296.

The previous prime is 2993959. The next prime is 2993981. The reversal of 2993960 is 693992.

It can be written as a sum of positive squares in 6 ways, for example, as 879844 + 2114116 = 938^2 + 1454^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33596 + ... + 33684.

22993960 is an apocalyptic number.

2993960 is a gapful number since it is divisible by the number (20) 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 2993960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527550).

2993960 is an abundant number, since it is smaller than the sum of its proper divisors (4061140).

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

2993960 is a wasteful number, since it uses less digits than its factorization.

2993960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 38.

The square root of 2993960 is about 1730.3063312605. The cubic root of 2993960 is about 144.1281010293.

Subtracting from 2993960 its reverse (693992), we obtain a cube (2299968 = 1323).

The spelling of 2993960 in words is "two million, nine hundred ninety-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 89 116 145 178 232 290 356 445 580 712 841 890 1160 1682 1780 2581 3364 3560 4205 5162 6728 8410 10324 12905 16820 20648 25810 33640 51620 74849 103240 149698 299396 374245 598792 748490 1496980 2993960