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2641920 = 2123543
BaseRepresentation
bin1010000101000000000000
311222020000220
422011000000
51134020140
6132343040
731312251
oct12050000
94866026
102641920
111544a06
12a74a80
13716688
144cab28
15372bd0
hex285000

2641920 has 104 divisors (see below), whose sum is σ = 8649696. Its totient is φ = 688128.

The previous prime is 2641909. The next prime is 2641921. The reversal of 2641920 is 291462.

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 (2641921) 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, 61419 + ... + 61461.

22641920 is an apocalyptic number.

2641920 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 2641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324848).

2641920 is an abundant number, since it is smaller than the sum of its proper divisors (6007776).

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

2641920 is an equidigital number, since it uses as much as digits as its factorization.

2641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2641920 is about 1625.3984126976. The cubic root of 2641920 is about 138.2419615634.

The spelling of 2641920 in words is "two million, six hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 256 258 320 344 384 430 480 512 516 640 645 688 768 860 960 1024 1032 1280 1290 1376 1536 1720 1920 2048 2064 2560 2580 2752 3072 3440 3840 4096 4128 5120 5160 5504 6144 6880 7680 8256 10240 10320 11008 12288 13760 15360 16512 20480 20640 22016 27520 30720 33024 41280 44032 55040 61440 66048 82560 88064 110080 132096 165120 176128 220160 264192 330240 440320 528384 660480 880640 1320960 2641920