Search a number
-
+
2920960 = 2957163
BaseRepresentation
bin1011001001001000000000
312111101210201
423021020000
51221432320
6142334544
733553630
oct13111000
95441721
102920960
111715619
12b8a454
137b36a3
145606c0
153ca70a
hex2c9200

2920960 has 80 divisors (see below), whose sum is σ = 8053056. Its totient is φ = 995328.

The previous prime is 2920943. The next prime is 2920969. The reversal of 2920960 is 690292.

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 (28).

It is not an unprimeable number, because it can be changed into a prime (2920969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17839 + ... + 18001.

22920960 is an apocalyptic number.

2920960 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 2920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026528).

2920960 is an abundant number, since it is smaller than the sum of its proper divisors (5132096).

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

2920960 is an equidigital number, since it uses as much as digits as its factorization.

2920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 2920960 is about 1709.0816247330. The cubic root of 2920960 is about 142.9470519740.

The spelling of 2920960 in words is "two million, nine hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 163 224 256 280 320 326 448 512 560 640 652 815 896 1120 1141 1280 1304 1630 1792 2240 2282 2560 2608 3260 3584 4480 4564 5216 5705 6520 8960 9128 10432 11410 13040 17920 18256 20864 22820 26080 36512 41728 45640 52160 73024 83456 91280 104320 146048 182560 208640 292096 365120 417280 584192 730240 1460480 2920960