Search a number
-
+
146070810 = 2335737411
BaseRepresentation
bin10001011010011…
…01110100011010
3101011212011111000
420231031310122
5244343231220
622254445430
73422403264
oct1055156432
9334764430
10146070810
11754a9186
1240b03876
1324354642
1415584b34
15cc55390
hex8b4dd1a

146070810 has 64 divisors (see below), whose sum is σ = 394911360. Its totient is φ = 38413440.

The previous prime is 146070797. The next prime is 146070811. The reversal of 146070810 is 18070641.

It is a happy number.

146070810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1460708102 = 42673363068112200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (146070811) 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, 16005 + ... + 23415.

It is an arithmetic number, because the mean of its divisors is an integer number (6170490).

Almost surely, 2146070810 is an apocalyptic number.

146070810 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 146070810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197455680).

146070810 is an abundant number, since it is smaller than the sum of its proper divisors (248840550).

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

146070810 is a wasteful number, since it uses less digits than its factorization.

146070810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7500 (or 7494 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 146070810 is about 12085.9757570500. The cubic root of 146070810 is about 526.6488568636.

The spelling of 146070810 in words is "one hundred forty-six million, seventy thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 90 135 146 219 270 365 438 657 730 1095 1314 1971 2190 3285 3942 6570 7411 9855 14822 19710 22233 37055 44466 66699 74110 111165 133398 200097 222330 333495 400194 541003 666990 1000485 1082006 1623009 2000970 2705015 3246018 4869027 5410030 8115045 9738054 14607081 16230090 24345135 29214162 48690270 73035405 146070810