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2932080 = 243519643
BaseRepresentation
bin1011001011110101110000
312111222001120
423023311300
51222311310
6142502240
733631224
oct13136560
95458046
102932080
111722a08
12b94980
137b8778
14564784
153cdb70
hex2cbd70

2932080 has 80 divisors (see below), whose sum is σ = 9582720. Its totient is φ = 739584.

The previous prime is 2932067. The next prime is 2932091. The reversal of 2932080 is 802392.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2932080.

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, 4239 + ... + 4881.

It is an arithmetic number, because the mean of its divisors is an integer number (119784).

22932080 is an apocalyptic number.

2932080 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 2932080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791360).

2932080 is an abundant number, since it is smaller than the sum of its proper divisors (6650640).

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

2932080 is a wasteful number, since it uses less digits than its factorization.

2932080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2932080 is about 1712.3317435591. The cubic root of 2932080 is about 143.1282205310.

The spelling of 2932080 in words is "two million, nine hundred thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 643 760 912 1140 1286 1520 1929 2280 2572 3215 3858 4560 5144 6430 7716 9645 10288 12217 12860 15432 19290 24434 25720 30864 36651 38580 48868 51440 61085 73302 77160 97736 122170 146604 154320 183255 195472 244340 293208 366510 488680 586416 733020 977360 1466040 2932080