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2153788 = 227136197
BaseRepresentation
bin1000001101110100111100
311001102102221
420031310330
51022410123
6114055124
724210160
oct10156474
94042387
102153788
11124119a
1287a4a4
135a5440
14400ca0
152c825d
hex20dd3c

2153788 has 48 divisors (see below), whose sum is σ = 4763584. Its totient is φ = 829440.

The previous prime is 2153779. The next prime is 2153797. The reversal of 2153788 is 8873512.

2153788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2153779) and next prime (2153797).

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 15 ways as a sum of consecutive naturals, for example, 22156 + ... + 22252.

22153788 is an apocalyptic number.

2153788 is a gapful number since it is divisible by the number (28) 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 2153788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381792).

2153788 is an abundant number, since it is smaller than the sum of its proper divisors (2609796).

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

2153788 is a wasteful number, since it uses less digits than its factorization.

2153788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 180 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The square root of 2153788 is about 1467.5789586935. The cubic root of 2153788 is about 129.1420425253.

The spelling of 2153788 in words is "two million, one hundred fifty-three thousand, seven hundred eighty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 61 91 97 122 182 194 244 364 388 427 679 793 854 1261 1358 1586 1708 2522 2716 3172 5044 5551 5917 8827 11102 11834 17654 22204 23668 35308 41419 76921 82838 153842 165676 307684 538447 1076894 2153788