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1072540 = 225747163
BaseRepresentation
bin100000101110110011100
32000111020201
410011312130
5233310130
634553244
712054640
oct4056634
92014221
101072540
116728a7
12438824
132b7251
141dcc20
15162bca
hex105d9c

1072540 has 48 divisors (see below), whose sum is σ = 2644992. Its totient is φ = 357696.

The previous prime is 1072537. The next prime is 1072543. The reversal of 1072540 is 452701.

1072540 = T47 + T48 + ... + T186.

It is an interprime number because it is at equal distance from previous prime (1072537) and next prime (1072543).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6499 + ... + 6661.

It is an arithmetic number, because the mean of its divisors is an integer number (55104).

21072540 is an apocalyptic number.

1072540 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 1072540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322496).

1072540 is an abundant number, since it is smaller than the sum of its proper divisors (1572452).

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

1072540 is a wasteful number, since it uses less digits than its factorization.

1072540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 1072540 is about 1035.6350708623. The cubic root of 1072540 is about 102.3617807810.

The spelling of 1072540 in words is "one million, seventy-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 163 188 235 326 329 470 652 658 815 940 1141 1316 1630 1645 2282 3260 3290 4564 5705 6580 7661 11410 15322 22820 30644 38305 53627 76610 107254 153220 214508 268135 536270 1072540