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1072140 = 2235107167
BaseRepresentation
bin100000101110000001100
32000110200220
410011300030
5233302030
634551340
712053526
oct4056014
92013626
101072140
11672573
12438550
132b7004
141dca16
15162a10
hex105c0c

1072140 has 48 divisors (see below), whose sum is σ = 3048192. Its totient is φ = 281536.

The previous prime is 1072133. The next prime is 1072147. The reversal of 1072140 is 412701.

It is an interprime number because it is at equal distance from previous prime (1072133) and next prime (1072147).

It is a super-2 number, since 2×10721402 = 2298968359200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1072147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6337 + ... + 6503.

It is an arithmetic number, because the mean of its divisors is an integer number (63504).

21072140 is an apocalyptic number.

1072140 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 1072140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524096).

1072140 is an abundant number, since it is smaller than the sum of its proper divisors (1976052).

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

1072140 is a wasteful number, since it uses less digits than its factorization.

1072140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 1072140 is about 1035.4419346347. The cubic root of 1072140 is about 102.3490540440.

Adding to 1072140 its reverse (412701), we get a palindrome (1484841).

The spelling of 1072140 in words is "one million, seventy-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 167 214 321 334 428 501 535 642 668 835 1002 1070 1284 1605 1670 2004 2140 2505 3210 3340 5010 6420 10020 17869 35738 53607 71476 89345 107214 178690 214428 268035 357380 536070 1072140