Search a number
-
+
146000430 = 232510715161
BaseRepresentation
bin10001011001111…
…00101000101110
3101011201120221100
420230330220232
5244334003210
622253143530
73421661142
oct1054745056
9334646840
10146000430
1175460314
1240a8aba6
132432b5b4
1415567222
15cc3e5c0
hex8b3ca2e

146000430 has 48 divisors (see below), whose sum is σ = 383174064. Its totient is φ = 38567040.

The previous prime is 146000429. The next prime is 146000431. The reversal of 146000430 is 34000641.

146000430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146000429) and next prime (146000431).

It is a super-2 number, since 2×1460004302 = 42632251120369800, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (146000431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2050 + ... + 17210.

It is an arithmetic number, because the mean of its divisors is an integer number (7982793).

Almost surely, 2146000430 is an apocalyptic number.

146000430 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 146000430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191587032).

146000430 is an abundant number, since it is smaller than the sum of its proper divisors (237173634).

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

146000430 is a wasteful number, since it uses less digits than its factorization.

146000430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15281 (or 15278 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 146000430 is about 12083.0637671081. The cubic root of 146000430 is about 526.5642597628.

It can be divided in two parts, 1460004 and 30, that multiplied together give a triangular number (43800120 = T9359).

The spelling of 146000430 in words is "one hundred forty-six million, four hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 214 321 535 642 963 1070 1605 1926 3210 4815 9630 15161 30322 45483 75805 90966 136449 151610 227415 272898 454830 682245 1364490 1622227 3244454 4866681 8111135 9733362 14600043 16222270 24333405 29200086 48666810 73000215 146000430