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2132480 = 2957217
BaseRepresentation
bin1000001000101000000000
311000100012202
420020220000
51021214410
6113412332
724061100
oct10105000
94010182
102132480
111227189
1286a0a8
1359882c
143d7200
152c1ca5
hex208a00

2132480 has 120 divisors (see below), whose sum is σ = 6297588. Its totient is φ = 688128.

The previous prime is 2132477. The next prime is 2132483. The reversal of 2132480 is 842312.

It is an interprime number because it is at equal distance from previous prime (2132477) and next prime (2132483).

It can be written as a sum of positive squares in 2 ways, for example, as 2119936 + 12544 = 1456^2 + 112^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2132483) 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, 125432 + ... + 125448.

22132480 is an apocalyptic number.

2132480 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 2132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148794).

2132480 is an abundant number, since it is smaller than the sum of its proper divisors (4165108).

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

2132480 is an equidigital number, since it uses as much as digits as its factorization.

2132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2132480 is about 1460.3013387654. The cubic root of 2132480 is about 128.7147514026.

Adding to 2132480 its reverse (842312), we get a palindrome (2974792).

The spelling of 2132480 in words is "two million, one hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 49 56 64 68 70 80 85 98 112 119 128 136 140 160 170 196 224 238 245 256 272 280 320 340 392 448 476 490 512 544 560 595 640 680 784 833 896 952 980 1088 1120 1190 1280 1360 1568 1666 1792 1904 1960 2176 2240 2380 2560 2720 3136 3332 3584 3808 3920 4165 4352 4480 4760 5440 6272 6664 7616 7840 8330 8704 8960 9520 10880 12544 13328 15232 15680 16660 17920 19040 21760 25088 26656 30464 31360 33320 38080 43520 53312 60928 62720 66640 76160 106624 125440 133280 152320 213248 266560 304640 426496 533120 1066240 2132480