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2153460 = 2235191889
BaseRepresentation
bin1000001101101111110100
311001101222210
420031233310
51022402320
6114053420
724206211
oct10155764
94041883
102153460
111240a21
1287a270
135a524a
14400b08
152c80e0
hex20dbf4

2153460 has 48 divisors (see below), whose sum is σ = 6350400. Its totient is φ = 543744.

The previous prime is 2153449. The next prime is 2153471. The reversal of 2153460 is 643512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2153449) and next prime (2153471).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196 + ... + 2084.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

22153460 is an apocalyptic number.

2153460 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 2153460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175200).

2153460 is an abundant number, since it is smaller than the sum of its proper divisors (4196940).

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

2153460 is a wasteful number, since it uses less digits than its factorization.

2153460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2153460 is about 1467.4672057665. The cubic root of 2153460 is about 129.1354865194.

Adding to 2153460 its reverse (643512), we get a palindrome (2796972).

The spelling of 2153460 in words is "two million, one hundred fifty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1889 3778 5667 7556 9445 11334 18890 22668 28335 35891 37780 56670 71782 107673 113340 143564 179455 215346 358910 430692 538365 717820 1076730 2153460