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2240480 = 255111967
BaseRepresentation
bin1000100010111111100000
311012211100202
420202333200
51033143410
6120004332
725021004
oct10427740
94184322
102240480
1112a0340
129006a8
13605a38
14424704
152e3ca5
hex222fe0

2240480 has 96 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 760320.

The previous prime is 2240479. The next prime is 2240489. The reversal of 2240480 is 840422.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33407 + ... + 33473.

It is an arithmetic number, because the mean of its divisors is an integer number (64260).

22240480 is an apocalyptic number.

2240480 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 2240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

2240480 is an abundant number, since it is smaller than the sum of its proper divisors (3928480).

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

2240480 is a wasteful number, since it uses less digits than its factorization.

2240480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2240480 is about 1496.8233028651. The cubic root of 2240480 is about 130.8519976438.

The spelling of 2240480 in words is "two million, two hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 67 76 80 88 95 110 134 152 160 176 190 209 220 268 304 335 352 380 418 440 536 608 670 737 760 836 880 1045 1072 1273 1340 1474 1520 1672 1760 2090 2144 2546 2680 2948 3040 3344 3685 4180 5092 5360 5896 6365 6688 7370 8360 10184 10720 11792 12730 14003 14740 16720 20368 23584 25460 28006 29480 33440 40736 50920 56012 58960 70015 101840 112024 117920 140030 203680 224048 280060 448096 560120 1120240 2240480