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2278672 = 24113107
BaseRepresentation
bin1000101100010100010000
311021202202021
420230110100
51040404142
6120501224
725240234
oct10542420
94252667
102278672
111317000
1291a814
1361a236
144345c4
15300267
hex22c510

2278672 has 40 divisors (see below), whose sum is σ = 4901472. Its totient is φ = 1026080.

The previous prime is 2278649. The next prime is 2278681. The reversal of 2278672 is 2768722.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21243 + ... + 21349.

22278672 is an apocalyptic number.

2278672 is a gapful number since it is divisible by the number (22) 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 2278672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450736).

2278672 is an abundant number, since it is smaller than the sum of its proper divisors (2622800).

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

2278672 is a wasteful number, since it uses less digits than its factorization.

2278672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its digits is 18816, while the sum is 34.

The square root of 2278672 is about 1509.5270782599. The cubic root of 2278672 is about 131.5913286539.

The spelling of 2278672 in words is "two million, two hundred seventy-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 107 121 176 214 242 428 484 856 968 1177 1331 1712 1936 2354 2662 4708 5324 9416 10648 12947 18832 21296 25894 51788 103576 142417 207152 284834 569668 1139336 2278672