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2113496 = 237114773
BaseRepresentation
bin1000000011111111011000
310222101011122
420003333120
51020112441
6113144412
723651540
oct10037730
93871148
102113496
1112139a0
1285b108
1358ccb8
143d0320
152bb34b
hex203fd8

2113496 has 64 divisors (see below), whose sum is σ = 5114880. Its totient is φ = 794880.

The previous prime is 2113471. The next prime is 2113511. The reversal of 2113496 is 6943112.

2113496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (1296) is a multiple of the sum of its prime factors (144).

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, 28916 + ... + 28988.

It is an arithmetic number, because the mean of its divisors is an integer number (79920).

22113496 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 2113496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557440).

2113496 is an abundant number, since it is smaller than the sum of its proper divisors (3001384).

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

2113496 is a wasteful number, since it uses less digits than its factorization.

2113496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 140 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 2113496 is about 1453.7867794144. The cubic root of 2113496 is about 128.3316594298.

The spelling of 2113496 in words is "two million, one hundred thirteen thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 47 56 73 77 88 94 146 154 188 292 308 329 376 511 517 584 616 658 803 1022 1034 1316 1606 2044 2068 2632 3212 3431 3619 4088 4136 5621 6424 6862 7238 11242 13724 14476 22484 24017 27448 28952 37741 44968 48034 75482 96068 150964 192136 264187 301928 528374 1056748 2113496