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2100480 = 2835547
BaseRepresentation
bin1000000000110100000000
310221201022120
420000310000
51014203410
6113004240
723565564
oct10006400
93851276
102100480
111205138
12853680
135870b5
143c96a4
152b7570
hex200d00

2100480 has 72 divisors (see below), whose sum is σ = 6720672. Its totient is φ = 559104.

The previous prime is 2100473. The next prime is 2100487. The reversal of 2100480 is 840012.

It is an interprime number because it is at equal distance from previous prime (2100473) and next prime (2100487).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3567 + ... + 4113.

22100480 is an apocalyptic number.

2100480 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 2100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360336).

2100480 is an abundant number, since it is smaller than the sum of its proper divisors (4620192).

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

2100480 is an equidigital number, since it uses as much as digits as its factorization.

2100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2100480 is about 1449.3032808905. The cubic root of 2100480 is about 128.0676725491.

Adding to 2100480 its reverse (840012), we get a palindrome (2940492).

The spelling of 2100480 in words is "two million, one hundred thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 547 640 768 960 1094 1280 1641 1920 2188 2735 3282 3840 4376 5470 6564 8205 8752 10940 13128 16410 17504 21880 26256 32820 35008 43760 52512 65640 70016 87520 105024 131280 140032 175040 210048 262560 350080 420096 525120 700160 1050240 2100480