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2087040 = 27351087
BaseRepresentation
bin111111101100010000000
310221000212210
413331202000
51013241130
6112422120
723511444
oct7754200
93830783
102087040
1111a602a
12847940
13580c47
143c4824
152b35b0
hex1fd880

2087040 has 64 divisors (see below), whose sum is σ = 6658560. Its totient is φ = 556032.

The previous prime is 2087027. The next prime is 2087047. The reversal of 2087040 is 407802.

It is a happy number.

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

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2086998 and 2087016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087047) 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, 1377 + ... + 2463.

It is an arithmetic number, because the mean of its divisors is an integer number (104040).

22087040 is an apocalyptic number.

2087040 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 2087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329280).

2087040 is an abundant number, since it is smaller than the sum of its proper divisors (4571520).

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

2087040 is a wasteful number, since it uses less digits than its factorization.

2087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2087040 is about 1444.6591293451. The cubic root of 2087040 is about 127.7939392846.

It can be divided in two parts, 20870 and 40, that added together give a triangular number (20910 = T204).

The spelling of 2087040 in words is "two million, eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1087 1920 2174 3261 4348 5435 6522 8696 10870 13044 16305 17392 21740 26088 32610 34784 43480 52176 65220 69568 86960 104352 130440 139136 173920 208704 260880 347840 417408 521760 695680 1043520 2087040