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2152040 = 235116773
BaseRepresentation
bin1000001101011001101000
311001100001012
420031121220
51022331130
6114043052
724202112
oct10153150
94040035
102152040
11123a950
12879488
135a46c7
144003b2
152c7995
hex20d668

2152040 has 64 divisors (see below), whose sum is σ = 5434560. Its totient is φ = 760320.

The previous prime is 2152037. The next prime is 2152043. The reversal of 2152040 is 402512.

It is an interprime number because it is at equal distance from previous prime (2152037) and next prime (2152043).

It is not an unprimeable number, because it can be changed into a prime (2152043) 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, 29444 + ... + 29516.

It is an arithmetic number, because the mean of its divisors is an integer number (84915).

22152040 is an apocalyptic number.

2152040 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 2152040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717280).

2152040 is an abundant number, since it is smaller than the sum of its proper divisors (3282520).

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

2152040 is a wasteful number, since it uses less digits than its factorization.

2152040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2152040 is about 1466.9832991551. The cubic root of 2152040 is about 129.1070961289.

Adding to 2152040 its reverse (402512), we get a palindrome (2554552).

The spelling of 2152040 in words is "two million, one hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 73 88 110 134 146 220 268 292 335 365 440 536 584 670 730 737 803 1340 1460 1474 1606 2680 2920 2948 3212 3685 4015 4891 5896 6424 7370 8030 9782 14740 16060 19564 24455 29480 32120 39128 48910 53801 97820 107602 195640 215204 269005 430408 538010 1076020 2152040