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2145072 = 243232967
BaseRepresentation
bin1000001011101100110000
311000222111010
420023230300
51022120242
6113550520
724142566
oct10135460
94028433
102145072
111235696
12875440
135a1497
143dba36
152c589c
hex20bb30

2145072 has 80 divisors (see below), whose sum is σ = 6071040. Its totient is φ = 650496.

The previous prime is 2145067. The next prime is 2145083. The reversal of 2145072 is 2705412.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 12.

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, 31983 + ... + 32049.

It is an arithmetic number, because the mean of its divisors is an integer number (75888).

22145072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035520).

2145072 is an abundant number, since it is smaller than the sum of its proper divisors (3925968).

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

2145072 is a wasteful number, since it uses less digits than its factorization.

2145072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 2145072 is about 1464.6064317761. The cubic root of 2145072 is about 128.9676019836.

The spelling of 2145072 in words is "two million, one hundred forty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 46 48 58 67 69 87 92 116 134 138 174 184 201 232 268 276 348 368 402 464 536 552 667 696 804 1072 1104 1334 1392 1541 1608 1943 2001 2668 3082 3216 3886 4002 4623 5336 5829 6164 7772 8004 9246 10672 11658 12328 15544 16008 18492 23316 24656 31088 32016 36984 44689 46632 73968 89378 93264 134067 178756 268134 357512 536268 715024 1072536 2145072