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1027040 = 25572131
BaseRepresentation
bin11111010101111100000
31221011211112
43322233200
5230331130
634002452
711505200
oct3725740
91834745
101027040
116416a3
12416428
1329c621
141ca400
15154495
hexfabe0

1027040 has 72 divisors (see below), whose sum is σ = 2844072. Its totient is φ = 349440.

The previous prime is 1027031. The next prime is 1027051. The reversal of 1027040 is 407201.

It is a happy number.

It is a super-2 number, since 2×10270402 = 2109622323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 7775 + ... + 7905.

It is an arithmetic number, because the mean of its divisors is an integer number (39501).

21027040 is an apocalyptic number.

1027040 is a gapful number since it is divisible by the number (10) 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 1027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422036).

1027040 is an abundant number, since it is smaller than the sum of its proper divisors (1817032).

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

1027040 is a wasteful number, since it uses less digits than its factorization.

1027040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 1027040 is about 1013.4298199678. The cubic root of 1027040 is about 100.8933291991.

It can be divided in two parts, 10 and 27040, that multiplied together give a square (270400 = 5202).

The spelling of 1027040 in words is "one million, twenty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 131 140 160 196 224 245 262 280 392 490 524 560 655 784 917 980 1048 1120 1310 1568 1834 1960 2096 2620 3668 3920 4192 4585 5240 6419 7336 7840 9170 10480 12838 14672 18340 20960 25676 29344 32095 36680 51352 64190 73360 102704 128380 146720 205408 256760 513520 1027040