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2150960 = 245723167
BaseRepresentation
bin1000001101001000110000
311001021120012
420031020300
51022312320
6114034052
724166010
oct10151060
94037505
102150960
11123a059
12878928
135a4076
143ddc40
152c74c5
hex20d230

2150960 has 80 divisors (see below), whose sum is σ = 5999616. Its totient is φ = 701184.

The previous prime is 2150947. The next prime is 2150969. The reversal of 2150960 is 690512.

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

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (2150969) 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 15 ways as a sum of consecutive naturals, for example, 12797 + ... + 12963.

22150960 is an apocalyptic number.

2150960 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 2150960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999808).

2150960 is an abundant number, since it is smaller than the sum of its proper divisors (3848656).

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

2150960 is a wasteful number, since it uses less digits than its factorization.

2150960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 2150960 is about 1466.6151506104. The cubic root of 2150960 is about 129.0854950751.

The spelling of 2150960 in words is "two million, one hundred fifty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 167 184 230 280 322 334 368 460 560 644 668 805 835 920 1169 1288 1336 1610 1670 1840 2338 2576 2672 3220 3340 3841 4676 5845 6440 6680 7682 9352 11690 12880 13360 15364 18704 19205 23380 26887 30728 38410 46760 53774 61456 76820 93520 107548 134435 153640 215096 268870 307280 430192 537740 1075480 2150960