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107070 = 2354383
BaseRepresentation
bin11010001000111110
312102212120
4122020332
511411240
62143410
7624105
oct321076
9172776
10107070
1173497
1251b66
1339972
142b03c
1521ad0
hex1a23e

107070 has 32 divisors (see below), whose sum is σ = 266112. Its totient is φ = 27552.

The previous prime is 107069. The next prime is 107071. The reversal of 107070 is 70701.

It is an interprime number because it is at equal distance from previous prime (107069) and next prime (107071).

It is a super-2 number, since 2×1070702 = 22927969800, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107070.

It is not an unprimeable number, because it can be changed into a prime (107071) 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, 1249 + ... + 1331.

It is an arithmetic number, because the mean of its divisors is an integer number (8316).

2107070 is an apocalyptic number.

107070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056).

107070 is an abundant number, since it is smaller than the sum of its proper divisors (159042).

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

107070 is a wasteful number, since it uses less digits than its factorization.

107070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136.

The product of its (nonzero) digits is 49, while the sum is 15.

The square root of 107070 is about 327.2155253040. The cubic root of 107070 is about 47.4849444437.

Adding to 107070 its reverse (70701), we get a palindrome (177771).

The spelling of 107070 in words is "one hundred seven thousand, seventy", and thus it is an iban number.

Divisors: 1 2 3 5 6 10 15 30 43 83 86 129 166 215 249 258 415 430 498 645 830 1245 1290 2490 3569 7138 10707 17845 21414 35690 53535 107070