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2151560 = 235192149
BaseRepresentation
bin1000001101010010001000
311001022101102
420031102020
51022322220
6114040532
724200525
oct10152210
94038342
102151560
11123a554
12879148
135a4418
1440014c
152c7775
hex20d488

2151560 has 48 divisors (see below), whose sum is σ = 5143500. Its totient is φ = 809856.

The previous prime is 2151533. The next prime is 2151563. The reversal of 2151560 is 651512.

It can be written as a sum of positive squares in 2 ways, for example, as 1976836 + 174724 = 1406^2 + 418^2 .

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 (2151563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14366 + ... + 14514.

22151560 is an apocalyptic number.

2151560 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 2151560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571750).

2151560 is an abundant number, since it is smaller than the sum of its proper divisors (2991940).

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

2151560 is a wasteful number, since it uses less digits than its factorization.

2151560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 2151560 is about 1466.8196889870. The cubic root of 2151560 is about 129.0974965530.

The spelling of 2151560 in words is "two million, one hundred fifty-one thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 149 152 190 298 361 380 596 722 745 760 1192 1444 1490 1805 2831 2888 2980 3610 5662 5960 7220 11324 14155 14440 22648 28310 53789 56620 107578 113240 215156 268945 430312 537890 1075780 2151560