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2040624 = 243237383
BaseRepresentation
bin111110010001100110000
310211200012200
413302030300
51010244444
6111423200
723226225
oct7621460
93750180
102040624
111174173
12824b00
13565a91
143b194c
152a4969
hex1f2330

2040624 has 60 divisors (see below), whose sum is σ = 5880576. Its totient is φ = 660096.

The previous prime is 2040607. The next prime is 2040641. The reversal of 2040624 is 4260402.

2040624 is a `hidden beast` number, since 2 + 0 + 40 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (2040607) and next prime (2040641).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2040597 and 2040606.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5137 + ... + 5519.

22040624 is an apocalyptic number.

2040624 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 2040624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940288).

2040624 is an abundant number, since it is smaller than the sum of its proper divisors (3839952).

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

2040624 is a wasteful number, since it uses less digits than its factorization.

2040624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2040624 is about 1428.5041126997. The cubic root of 2040624 is about 126.8394441203.

The spelling of 2040624 in words is "two million, forty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 383 444 592 666 766 888 1149 1332 1532 1776 2298 2664 3064 3447 4596 5328 6128 6894 9192 13788 14171 18384 27576 28342 42513 55152 56684 85026 113368 127539 170052 226736 255078 340104 510156 680208 1020312 2040624