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2293680 = 243519503
BaseRepresentation
bin1000101111111110110000
311022112100010
420233332300
51041344210
6121054520
725332054
oct10577660
94275303
102293680
111327304
12927440
1362400c
14439c64
15304920
hex22ffb0

2293680 has 80 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 578304.

The previous prime is 2293673. The next prime is 2293693. The reversal of 2293680 is 863922.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4309 + ... + 4811.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

22293680 is an apocalyptic number.

2293680 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 2293680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2293680 is an abundant number, since it is smaller than the sum of its proper divisors (5205840).

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

2293680 is a wasteful number, since it uses less digits than its factorization.

2293680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2293680 is about 1514.4900131728. The cubic root of 2293680 is about 131.8795963598.

The spelling of 2293680 in words is "two million, two hundred ninety-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 503 570 760 912 1006 1140 1509 1520 2012 2280 2515 3018 4024 4560 5030 6036 7545 8048 9557 10060 12072 15090 19114 20120 24144 28671 30180 38228 40240 47785 57342 60360 76456 95570 114684 120720 143355 152912 191140 229368 286710 382280 458736 573420 764560 1146840 2293680