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2153540 = 225294779
BaseRepresentation
bin1000001101110001000100
311001102002202
420031301010
51022403130
6114054032
724206354
oct10156104
94042082
102153540
111240a94
1287a318
135a52ac
14400b64
152c8145
hex20dc44

2153540 has 48 divisors (see below), whose sum is σ = 4838400. Its totient is φ = 803712.

The previous prime is 2153531. The next prime is 2153551. The reversal of 2153540 is 453512.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 27221 + ... + 27299.

It is an arithmetic number, because the mean of its divisors is an integer number (100800).

22153540 is an apocalyptic number.

2153540 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 2153540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419200).

2153540 is an abundant number, since it is smaller than the sum of its proper divisors (2684860).

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

2153540 is a wasteful number, since it uses less digits than its factorization.

2153540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2153540 is about 1467.4944633626. The cubic root of 2153540 is about 129.1370856066.

The spelling of 2153540 in words is "two million, one hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 47 58 79 94 116 145 158 188 235 290 316 395 470 580 790 940 1363 1580 2291 2726 3713 4582 5452 6815 7426 9164 11455 13630 14852 18565 22910 27260 37130 45820 74260 107677 215354 430708 538385 1076770 2153540