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2135424 = 2736783
BaseRepresentation
bin1000001001010110000000
311000111020210
420021112000
51021313144
6113434120
724102504
oct10112600
94014223
102135424
111229415
1286b940
13599c85
143d8304
152c2ab9
hex209580

2135424 has 64 divisors (see below), whose sum is σ = 5826240. Its totient is φ = 692736.

The previous prime is 2135417. The next prime is 2135447. The reversal of 2135424 is 4245312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2135424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25687 + ... + 25769.

It is an arithmetic number, because the mean of its divisors is an integer number (91035).

22135424 is an apocalyptic number.

2135424 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 2135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913120).

2135424 is an abundant number, since it is smaller than the sum of its proper divisors (3690816).

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

2135424 is an equidigital number, since it uses as much as digits as its factorization.

2135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 2135424 is about 1461.3090022305. The cubic root of 2135424 is about 128.7739566443.

The spelling of 2135424 in words is "two million, one hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 83 96 128 134 166 192 201 249 268 332 384 402 498 536 664 804 996 1072 1328 1608 1992 2144 2656 3216 3984 4288 5312 5561 6432 7968 8576 10624 11122 12864 15936 16683 22244 25728 31872 33366 44488 66732 88976 133464 177952 266928 355904 533856 711808 1067712 2135424