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2930580 = 2237567
BaseRepresentation
bin1011001011011110010100
312111220000000
423023132110
51222234310
6142451300
733623652
oct13133624
95456000
102930580
111721874
12b93b30
137b7b93
14563dd2
153cd4c0
hex2cb794

2930580 has 96 divisors (see below), whose sum is σ = 9367680. Its totient is φ = 769824.

The previous prime is 2930563. The next prime is 2930593. The reversal of 2930580 is 850392.

It is a super-3 number, since 3×29305803 = 75506093049453336000, which contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43707 + ... + 43773.

It is an arithmetic number, because the mean of its divisors is an integer number (97580).

22930580 is an apocalyptic number.

2930580 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 2930580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683840).

2930580 is an abundant number, since it is smaller than the sum of its proper divisors (6437100).

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

2930580 is an equidigital number, since it uses as much as digits as its factorization.

2930580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2930580 is about 1711.8936882879. The cubic root of 2930580 is about 143.1038090834.

The spelling of 2930580 in words is "two million, nine hundred thirty thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 81 90 108 134 135 162 180 201 243 268 270 324 335 402 405 486 540 603 670 729 804 810 972 1005 1206 1215 1340 1458 1620 1809 2010 2187 2412 2430 2916 3015 3618 3645 4020 4374 4860 5427 6030 7236 7290 8748 9045 10854 10935 12060 14580 16281 18090 21708 21870 27135 32562 36180 43740 48843 54270 65124 81405 97686 108540 146529 162810 195372 244215 293058 325620 488430 586116 732645 976860 1465290 2930580