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2135040 = 21035139
BaseRepresentation
bin1000001001010000000000
311000110201120
420021100000
51021310130
6113432240
724101415
oct10112000
94013646
102135040
1112290a6
1286b680
13599a4b
143d810c
152c2910
hex209400

2135040 has 88 divisors (see below), whose sum is σ = 6877920. Its totient is φ = 565248.

The previous prime is 2135027. The next prime is 2135051. The reversal of 2135040 is 405312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

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, 15291 + ... + 15429.

22135040 is an apocalyptic number.

2135040 is a gapful number since it is divisible by the number (20) 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 2135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438960).

2135040 is an abundant number, since it is smaller than the sum of its proper divisors (4742880).

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

2135040 is a wasteful number, since it uses less digits than its factorization.

2135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2135040 is about 1461.1776072744. The cubic root of 2135040 is about 128.7662373087.

It can be divided in two parts, 213 and 5040, that added together give a triangular number (5253 = T102).

The spelling of 2135040 in words is "two million, one hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 139 160 192 240 256 278 320 384 417 480 512 556 640 695 768 834 960 1024 1112 1280 1390 1536 1668 1920 2085 2224 2560 2780 3072 3336 3840 4170 4448 5120 5560 6672 7680 8340 8896 11120 13344 15360 16680 17792 22240 26688 33360 35584 44480 53376 66720 71168 88960 106752 133440 142336 177920 213504 266880 355840 427008 533760 711680 1067520 2135040