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70140 = 22357167
BaseRepresentation
bin10001000111111100
310120012210
4101013330
54221030
61300420
7411330
oct210774
9116183
1070140
1148774
1234710
1325c05
141b7c0
1515bb0
hex111fc

70140 has 48 divisors (see below), whose sum is σ = 225792. Its totient is φ = 15936.

The previous prime is 70139. The next prime is 70141. The reversal of 70140 is 4107.

70140 = T45 + T46 + ... + T79.

It is an interprime number because it is at equal distance from previous prime (70139) and next prime (70141).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70141) 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, 337 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (4704).

270140 is an apocalyptic number.

70140 is a gapful number since it is divisible by the number (70) 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 70140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112896).

70140 is an abundant number, since it is smaller than the sum of its proper divisors (155652).

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

70140 is a wasteful number, since it uses less digits than its factorization.

70140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 70140 is about 264.8395740821. The cubic root of 70140 is about 41.2403099369.

Adding to 70140 its reverse (4107), we get a palindrome (74247).

It can be divided in two parts, 701 and 40, that added together give a triangular number (741 = T38).

The spelling of 70140 in words is "seventy thousand, one hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 167 210 334 420 501 668 835 1002 1169 1670 2004 2338 2505 3340 3507 4676 5010 5845 7014 10020 11690 14028 17535 23380 35070 70140