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92070 = 23351131
BaseRepresentation
bin10110011110100110
311200022000
4112132212
510421240
61550130
7532266
oct263646
9150260
1092070
11631a0
1245346
1332ba4
14257a6
151c430
hex167a6

92070 has 64 divisors (see below), whose sum is σ = 276480. Its totient is φ = 21600.

The previous prime is 92051. The next prime is 92077. The reversal of 92070 is 7029.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 92070.

It is not an unprimeable number, because it can be changed into a prime (92077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2955 + ... + 2985.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

292070 is an apocalyptic number.

92070 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 92070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138240).

92070 is an abundant number, since it is smaller than the sum of its proper divisors (184410).

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

92070 is a wasteful number, since it uses less digits than its factorization.

92070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 92070 is about 303.4303874038. The cubic root of 92070 is about 45.1550209094.

92070 divided by its sum of digits (18) gives a palindrome (5115).

Adding to 92070 its reverse (7029), we get a palindrome (99099).

It can be divided in two parts, 920 and 70, that added together give a triangular number (990 = T44).

The spelling of 92070 in words is "ninety-two thousand, seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 31 33 45 54 55 62 66 90 93 99 110 135 155 165 186 198 270 279 297 310 330 341 465 495 558 594 682 837 930 990 1023 1395 1485 1674 1705 2046 2790 2970 3069 3410 4185 5115 6138 8370 9207 10230 15345 18414 30690 46035 92070