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2746380 = 2235713503
BaseRepresentation
bin1010011110100000001100
312011112022210
422132200030
51200341010
6134510420
732225640
oct12364014
95145283
102746380
11160643a
12b05410
137520a0
14516c20
15393b20
hex29e80c

2746380 has 96 divisors (see below), whose sum is σ = 9483264. Its totient is φ = 578304.

The previous prime is 2746379. The next prime is 2746409. The reversal of 2746380 is 836472.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 27 + 76 + 4 + 6 + 312 + 87 + 0 .

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, 5209 + ... + 5711.

It is an arithmetic number, because the mean of its divisors is an integer number (98784).

22746380 is an apocalyptic number.

2746380 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 2746380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741632).

2746380 is an abundant number, since it is smaller than the sum of its proper divisors (6736884).

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

2746380 is a wasteful number, since it uses less digits than its factorization.

2746380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2746380 is about 1657.2205646805. The cubic root of 2746380 is about 140.0404644938.

The spelling of 2746380 in words is "two million, seven hundred forty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 503 546 780 910 1006 1092 1365 1509 1820 2012 2515 2730 3018 3521 5030 5460 6036 6539 7042 7545 10060 10563 13078 14084 15090 17605 19617 21126 26156 30180 32695 35210 39234 42252 45773 52815 65390 70420 78468 91546 98085 105630 130780 137319 183092 196170 211260 228865 274638 392340 457730 549276 686595 915460 1373190 2746380