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2130440 = 2351317241
BaseRepresentation
bin1000001000001000001000
311000020102012
420020020020
51021133230
6113355052
724052124
oct10101010
94006365
102130440
1112256a4
12868a88
13597920
143d6584
152c1395
hex208208

2130440 has 64 divisors (see below), whose sum is σ = 5488560. Its totient is φ = 737280.

The previous prime is 2130439. The next prime is 2130461. The reversal of 2130440 is 440312.

2130440 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 8 ways, for example, as 1094116 + 1036324 = 1046^2 + 1018^2 .

2130440 is an undulating number in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8720 + ... + 8960.

22130440 is an apocalyptic number.

2130440 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 2130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744280).

2130440 is an abundant number, since it is smaller than the sum of its proper divisors (3358120).

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

2130440 is a wasteful number, since it uses less digits than its factorization.

2130440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2130440 is about 1459.6026856648. The cubic root of 2130440 is about 128.6736940629.

Adding to 2130440 its reverse (440312), we get a palindrome (2570752).

The spelling of 2130440 in words is "two million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 241 260 340 442 482 520 680 884 964 1105 1205 1768 1928 2210 2410 3133 4097 4420 4820 6266 8194 8840 9640 12532 15665 16388 20485 25064 31330 32776 40970 53261 62660 81940 106522 125320 163880 213044 266305 426088 532610 1065220 2130440