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2760030 = 2325713337
BaseRepresentation
bin1010100001110101011110
312012020001100
422201311132
51201310110
6135053530
732313510
oct12416536
95166040
102760030
111615719
12b112a6
13758370
1451bbb0
15397bc0
hex2a1d5e

2760030 has 96 divisors (see below), whose sum is σ = 8858304. Its totient is φ = 580608.

The previous prime is 2760019. The next prime is 2760031. The reversal of 2760030 is 300672.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2759985 and 2760012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2760031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8022 + ... + 8358.

It is an arithmetic number, because the mean of its divisors is an integer number (92274).

22760030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2760030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429152).

2760030 is an abundant number, since it is smaller than the sum of its proper divisors (6098274).

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

2760030 is a wasteful number, since it uses less digits than its factorization.

2760030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 2760030 is about 1661.3338014981. Note that the first 3 decimals coincide. The cubic root of 2760030 is about 140.2720898985.

The spelling of 2760030 in words is "two million, seven hundred sixty thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 337 390 455 546 585 630 674 819 910 1011 1170 1365 1638 1685 2022 2359 2730 3033 3370 4095 4381 4718 5055 6066 7077 8190 8762 10110 11795 13143 14154 15165 21231 21905 23590 26286 30330 30667 35385 39429 42462 43810 61334 65715 70770 78858 92001 106155 131430 153335 184002 197145 212310 276003 306670 394290 460005 552006 920010 1380015 2760030