Search a number
-
+
2145510 = 232531769
BaseRepresentation
bin1000001011110011100110
311001000002100
420023303212
51022124020
6113552530
724144063
oct10136346
94030070
102145510
111235a54
12875746
135a1743
143dbc6a
152c5a90
hex20bce6

2145510 has 48 divisors (see below), whose sum is σ = 5765760. Its totient is φ = 552960.

The previous prime is 2145497. The next prime is 2145529. The reversal of 2145510 is 155412.

2145510 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2406 + ... + 3174.

It is an arithmetic number, because the mean of its divisors is an integer number (120120).

22145510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882880).

2145510 is an abundant number, since it is smaller than the sum of its proper divisors (3620250).

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

2145510 is a wasteful number, since it uses less digits than its factorization.

2145510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2145510 is about 1464.7559523689. The cubic root of 2145510 is about 128.9763793060.

The spelling of 2145510 in words is "two million, one hundred forty-five thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 769 930 1395 1538 2307 2790 3845 4614 6921 7690 11535 13842 23070 23839 34605 47678 69210 71517 119195 143034 214551 238390 357585 429102 715170 1072755 2145510