Search a number
-
+
2076320 = 25519683
BaseRepresentation
bin111111010111010100000
310220111011202
413322322200
51012420240
6112300332
723435261
oct7727240
93814152
102076320
111198a74
128416a8
135790bc
143c0968
152b0315
hex1faea0

2076320 has 48 divisors (see below), whose sum is σ = 5171040. Its totient is φ = 785664.

The previous prime is 2076317. The next prime is 2076331. The reversal of 2076320 is 236702.

2076320 = T131 + T132 + ... + T244.

It is a super-2 number, since 2×20763202 = 8622209484800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2076292 and 2076301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2699 + ... + 3381.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

22076320 is an apocalyptic number.

2076320 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 2076320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585520).

2076320 is an abundant number, since it is smaller than the sum of its proper divisors (3094720).

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

2076320 is a wasteful number, since it uses less digits than its factorization.

2076320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 2076320 is about 1440.9441349338. The cubic root of 2076320 is about 127.5747607172.

The spelling of 2076320 in words is "two million, seventy-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 683 760 1366 1520 2732 3040 3415 5464 6830 10928 12977 13660 21856 25954 27320 51908 54640 64885 103816 109280 129770 207632 259540 415264 519080 1038160 2076320