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2116928 = 26113197
BaseRepresentation
bin1000000100110101000000
310222112212202
420010311000
51020220203
6113212332
723664542
oct10046500
93875782
102116928
111216530
128610a8
13591728
143d1692
152bc388
hex204d40

2116928 has 56 divisors (see below), whose sum is σ = 4779264. Its totient is φ = 921600.

The previous prime is 2116921. The next prime is 2116949. The reversal of 2116928 is 8296112.

It is a self number, because there is not a number n which added to its sum of digits gives 2116928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21776 + ... + 21872.

It is an arithmetic number, because the mean of its divisors is an integer number (85344).

22116928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389632).

2116928 is an abundant number, since it is smaller than the sum of its proper divisors (2662336).

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

2116928 is a wasteful number, since it uses less digits than its factorization.

2116928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its digits is 1728, while the sum is 29.

The square root of 2116928 is about 1454.9666662848. The cubic root of 2116928 is about 128.4010856428.

The spelling of 2116928 in words is "two million, one hundred sixteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 97 124 176 194 248 341 352 388 496 682 704 776 992 1067 1364 1552 1984 2134 2728 3007 3104 4268 5456 6014 6208 8536 10912 12028 17072 21824 24056 33077 34144 48112 66154 68288 96224 132308 192448 264616 529232 1058464 2116928