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2392000 = 26531323
BaseRepresentation
bin1001000111111111000000
311111112012121
421013333000
51103021000
6123134024
726221522
oct11077700
94445177
102392000
111394166
12974314
136599b0
14463a12
15323b1a
hex247fc0

2392000 has 112 divisors (see below), whose sum is σ = 6656832. Its totient is φ = 844800.

The previous prime is 2391997. The next prime is 2392001. The reversal of 2392000 is 2932.

2392000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2392001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103989 + ... + 104011.

It is an arithmetic number, because the mean of its divisors is an integer number (59436).

22392000 is an apocalyptic number.

2392000 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 2392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328416).

2392000 is an abundant number, since it is smaller than the sum of its proper divisors (4264832).

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

2392000 is a wasteful number, since it uses less digits than its factorization.

2392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2392000 is about 1546.6091943345. The cubic root of 2392000 is about 133.7376615398.

Adding to 2392000 its reverse (2932), we get a palindrome (2394932).

The spelling of 2392000 in words is "two million, three hundred ninety-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 23 25 26 32 40 46 50 52 64 65 80 92 100 104 115 125 130 160 184 200 208 230 250 260 299 320 325 368 400 416 460 500 520 575 598 650 736 800 832 920 1000 1040 1150 1196 1300 1472 1495 1600 1625 1840 2000 2080 2300 2392 2600 2875 2990 3250 3680 4000 4160 4600 4784 5200 5750 5980 6500 7360 7475 8000 9200 9568 10400 11500 11960 13000 14950 18400 19136 20800 23000 23920 26000 29900 36800 37375 46000 47840 52000 59800 74750 92000 95680 104000 119600 149500 184000 239200 299000 478400 598000 1196000 2392000