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146070 = 2335541
BaseRepresentation
bin100011101010010110
321102101000
4203222112
514133240
63044130
71145601
oct435226
9242330
10146070
119a821
1270646
1351642
143b338
152d430
hex23a96

146070 has 32 divisors (see below), whose sum is σ = 390240. Its totient is φ = 38880.

The previous prime is 146063. The next prime is 146077. The reversal of 146070 is 70641.

146070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

146070 is a nontrivial binomial coefficient, being equal to C(541, 2).

It is an interprime number because it is at equal distance from previous prime (146063) and next prime (146077).

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

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 146070.

It is not an unprimeable number, because it can be changed into a prime (146077) by changing a digit.

146070 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 540.

It is an arithmetic number, because the mean of its divisors is an integer number (12195).

2146070 is an apocalyptic number.

146070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146070 is the 540-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195120).

146070 is an abundant number, since it is smaller than the sum of its proper divisors (244170).

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

146070 is a wasteful number, since it uses less digits than its factorization.

146070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 146070 is about 382.1910517006. The cubic root of 146070 is about 52.6647883394.

It can be divided in two parts, 14 and 6070, that added together give a square (6084 = 782).

The spelling of 146070 in words is "one hundred forty-six thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 541 1082 1623 2705 3246 4869 5410 8115 9738 14607 16230 24345 29214 48690 73035 146070