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2404480 = 27513172
BaseRepresentation
bin1001001011000010000000
311112011022211
421023002000
51103420410
6123311504
726303101
oct11130200
94464284
102404480
1113a2581
1297b594
13662590
144683a8
1532768a
hex24b080

2404480 has 96 divisors (see below), whose sum is σ = 6575940. Its totient is φ = 835584.

The previous prime is 2404471. The next prime is 2404483. The reversal of 2404480 is 844042.

It can be written as a sum of positive squares in 6 ways, for example, as 1272384 + 1132096 = 1128^2 + 1064^2 .

It is not an unprimeable number, because it can be changed into a prime (2404483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141432 + ... + 141448.

22404480 is an apocalyptic number.

2404480 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 2404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287970).

2404480 is an abundant number, since it is smaller than the sum of its proper divisors (4171460).

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

2404480 is a wasteful number, since it uses less digits than its factorization.

2404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2404480 is about 1550.6385781348. The cubic root of 2404480 is about 133.9698454461.

The spelling of 2404480 in words is "two million, four hundred four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 128 130 136 160 170 208 221 260 272 289 320 340 416 442 520 544 578 640 680 832 884 1040 1088 1105 1156 1360 1445 1664 1768 2080 2176 2210 2312 2720 2890 3536 3757 4160 4420 4624 5440 5780 7072 7514 8320 8840 9248 10880 11560 14144 15028 17680 18496 18785 23120 28288 30056 35360 36992 37570 46240 60112 70720 75140 92480 120224 141440 150280 184960 240448 300560 480896 601120 1202240 2404480