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2395920 = 243567149
BaseRepresentation
bin1001001000111100010000
311111201120210
421020330100
51103132140
6123204120
726236122
oct11107420
94451523
102395920
1113970aa
12976640
1365b707
14465212
15324d80
hex248f10

2395920 has 80 divisors (see below), whose sum is σ = 7588800. Its totient is φ = 625152.

The previous prime is 2395901. The next prime is 2395927. The reversal of 2395920 is 295932.

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 (30).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2395927) 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, 16006 + ... + 16154.

It is an arithmetic number, because the mean of its divisors is an integer number (94860).

22395920 is an apocalyptic number.

2395920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2395920 is the 894-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2395920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794400).

2395920 is an abundant number, since it is smaller than the sum of its proper divisors (5192880).

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

2395920 is a wasteful number, since it uses less digits than its factorization.

2395920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 2395920 is about 1547.8759640230. The cubic root of 2395920 is about 133.8106779156.

The spelling of 2395920 in words is "two million, three hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 149 201 240 268 298 335 402 447 536 596 670 745 804 894 1005 1072 1192 1340 1490 1608 1788 2010 2235 2384 2680 2980 3216 3576 4020 4470 5360 5960 7152 8040 8940 9983 11920 16080 17880 19966 29949 35760 39932 49915 59898 79864 99830 119796 149745 159728 199660 239592 299490 399320 479184 598980 798640 1197960 2395920