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2145360 = 243571277
BaseRepresentation
bin1000001011110001010000
311000222212210
420023301100
51022122420
6113552120
724143460
oct10136120
94028783
102145360
111235928
12875640
135a1659
143dbba0
152c59e0
hex20bc50

2145360 has 80 divisors (see below), whose sum is σ = 7606656. Its totient is φ = 489984.

The previous prime is 2145359. The next prime is 2145361. The reversal of 2145360 is 635412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2145359) and next prime (2145361).

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 (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1042 + ... + 2318.

22145360 is an apocalyptic number.

2145360 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 2145360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803328).

2145360 is an abundant number, since it is smaller than the sum of its proper divisors (5461296).

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

2145360 is a wasteful number, since it uses less digits than its factorization.

2145360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2145360 is about 1464.7047484049. The cubic root of 2145360 is about 128.9733735082.

The spelling of 2145360 in words is "two million, one hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1277 1680 2554 3831 5108 6385 7662 8939 10216 12770 15324 17878 19155 20432 25540 26817 30648 35756 38310 44695 51080 53634 61296 71512 76620 89390 102160 107268 134085 143024 153240 178780 214536 268170 306480 357560 429072 536340 715120 1072680 2145360