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2145920 = 2757479
BaseRepresentation
bin1000001011111010000000
311001000122112
420023322000
51022132140
6113554452
724145220
oct10137200
94030575
102145920
111236297
12875a28
135a199a
143dc080
152c5c65
hex20be80

2145920 has 64 divisors (see below), whose sum is σ = 5875200. Its totient is φ = 734208.

The previous prime is 2145853. The next prime is 2145937. The reversal of 2145920 is 295412.

It is a tau number, because it is divible by the number of its divisors (64).

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, 4241 + ... + 4719.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

22145920 is an apocalyptic number.

2145920 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 2145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937600).

2145920 is an abundant number, since it is smaller than the sum of its proper divisors (3729280).

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

2145920 is an equidigital number, since it uses as much as digits as its factorization.

2145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 2145920 is about 1464.8959007383. The cubic root of 2145920 is about 128.9845944386.

The spelling of 2145920 in words is "two million, one hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 479 560 640 896 958 1120 1916 2240 2395 3353 3832 4480 4790 6706 7664 9580 13412 15328 16765 19160 26824 30656 33530 38320 53648 61312 67060 76640 107296 134120 153280 214592 268240 306560 429184 536480 1072960 2145920