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2732080 = 245133771
BaseRepresentation
bin1010011011000000110000
312010210201011
422123000300
51144411310
6134320304
732136151
oct12330060
95123634
102732080
1115a671a
12ab9094
13748720
14511928
1538e78a
hex29b030

2732080 has 80 divisors (see below), whose sum is σ = 7124544. Its totient is φ = 967680.

The previous prime is 2732069. The next prime is 2732099. The reversal of 2732080 is 802372.

It is a happy number.

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

It is a super-2 number, since 2×27320802 = 14928522252800, which contains 22 as substring.

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, 38445 + ... + 38515.

22732080 is an apocalyptic number.

2732080 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 2732080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562272).

2732080 is an abundant number, since it is smaller than the sum of its proper divisors (4392464).

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

2732080 is a wasteful number, since it uses less digits than its factorization.

2732080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2732080 is about 1652.9004809728. The cubic root of 2732080 is about 139.7969846594.

The spelling of 2732080 in words is "two million, seven hundred thirty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 71 74 80 104 130 142 148 185 208 260 284 296 355 370 481 520 568 592 710 740 923 962 1040 1136 1420 1480 1846 1924 2405 2627 2840 2960 3692 3848 4615 4810 5254 5680 7384 7696 9230 9620 10508 13135 14768 18460 19240 21016 26270 34151 36920 38480 42032 52540 68302 73840 105080 136604 170755 210160 273208 341510 546416 683020 1366040 2732080