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2063120 = 245173741
BaseRepresentation
bin111110111101100010000
310212211001212
413313230100
51012004440
6112115252
723351633
oct7675420
93784055
102063120
11118a064
12835b28
135730a7
143b9c1a
152ab465
hex1f7b10

2063120 has 80 divisors (see below), whose sum is σ = 5343408. Its totient is φ = 737280.

The previous prime is 2063111. The next prime is 2063129. The reversal of 2063120 is 213602.

It is an interprime number because it is at equal distance from previous prime (2063111) and next prime (2063129).

It can be written as a sum of positive squares in 8 ways, for example, as 1024 + 2062096 = 32^2 + 1436^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2063095 and 2063104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2063129) 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, 50300 + ... + 50340.

22063120 is an apocalyptic number.

2063120 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 2063120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671704).

2063120 is an abundant number, since it is smaller than the sum of its proper divisors (3280288).

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

2063120 is a wasteful number, since it uses less digits than its factorization.

2063120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2063120 is about 1436.3565017084. The cubic root of 2063120 is about 127.3038377874.

Adding to 2063120 its reverse (213602), we get a palindrome (2276722).

The spelling of 2063120 in words is "two million, sixty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 37 40 41 68 74 80 82 85 136 148 164 170 185 205 272 296 328 340 370 410 592 629 656 680 697 740 820 1258 1360 1394 1480 1517 1640 2516 2788 2960 3034 3145 3280 3485 5032 5576 6068 6290 6970 7585 10064 11152 12136 12580 13940 15170 24272 25160 25789 27880 30340 50320 51578 55760 60680 103156 121360 128945 206312 257890 412624 515780 1031560 2063120