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2135904 = 253191171
BaseRepresentation
bin1000001001011101100000
311000111220120
420021131200
51021322104
6113440240
724104061
oct10113540
94014816
102135904
111229811
12870080
1359a264
143d8568
152c2cd9
hex209760

2135904 has 48 divisors (see below), whose sum is σ = 5906880. Its totient is φ = 673920.

The previous prime is 2135891. The next prime is 2135909. The reversal of 2135904 is 4095312.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135909) 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, 1239 + ... + 2409.

It is an arithmetic number, because the mean of its divisors is an integer number (123060).

22135904 is an apocalyptic number.

2135904 is a gapful number since it is divisible by the number (24) 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 2135904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953440).

2135904 is an abundant number, since it is smaller than the sum of its proper divisors (3770976).

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

2135904 is a wasteful number, since it uses less digits than its factorization.

2135904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2135904 is about 1461.4732293135. The cubic root of 2135904 is about 128.7836045126.

The spelling of 2135904 in words is "two million, one hundred thirty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1171 1824 2342 3513 4684 7026 9368 14052 18736 22249 28104 37472 44498 56208 66747 88996 112416 133494 177992 266988 355984 533976 711968 1067952 2135904