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2027376 = 243313192
BaseRepresentation
bin111101110111101110000
310211000001000
413232331300
51004334001
6111242000
723142501
oct7567560
93730030
102027376
11116521a
12819300
1355ca40
143aaba8
152a0a86
hex1eef70

2027376 has 120 divisors (see below), whose sum is σ = 6614160. Its totient is φ = 590976.

The previous prime is 2027371. The next prime is 2027383. The reversal of 2027376 is 6737202.

2027376 is nontrivially palindromic in base 5.

It is a super-2 number, since 2×20273762 = 8220506890752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2027371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106695 + ... + 106713.

It is an arithmetic number, because the mean of its divisors is an integer number (55118).

22027376 is an apocalyptic number.

2027376 is a gapful number since it is divisible by the number (26) 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 2027376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307080).

2027376 is an abundant number, since it is smaller than the sum of its proper divisors (4586784).

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

2027376 is a wasteful number, since it uses less digits than its factorization.

2027376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 2027376 is about 1423.8595436348. The cubic root of 2027376 is about 126.5643618382.

The spelling of 2027376 in words is "two million, twenty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 36 38 39 48 52 54 57 72 76 78 104 108 114 117 144 152 156 171 208 216 228 234 247 304 312 342 351 361 432 456 468 494 513 624 684 702 722 741 912 936 988 1026 1083 1368 1404 1444 1482 1872 1976 2052 2166 2223 2736 2808 2888 2964 3249 3952 4104 4332 4446 4693 5616 5776 5928 6498 6669 8208 8664 8892 9386 9747 11856 12996 13338 14079 17328 17784 18772 19494 25992 26676 28158 35568 37544 38988 42237 51984 53352 56316 75088 77976 84474 106704 112632 126711 155952 168948 225264 253422 337896 506844 675792 1013688 2027376