Search a number
-
+
146067432 = 23372294283
BaseRepresentation
bin10001011010011…
…00111111101000
3101011211222211220
420231030333220
5244343124212
622254422040
73422360400
oct1055147750
9334758756
10146067432
11754a6695
1240b01920
1324352c44
1415583800
15cc5438c
hex8b4cfe8

146067432 has 96 divisors (see below), whose sum is σ = 439538400. Its totient is φ = 40285056.

The previous prime is 146067419. The next prime is 146067433. The reversal of 146067432 is 234760641.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 146067393 and 146067402.

It is not an unprimeable number, because it can be changed into a prime (146067433) 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, 31963 + ... + 36245.

It is an arithmetic number, because the mean of its divisors is an integer number (4578525).

Almost surely, 2146067432 is an apocalyptic number.

146067432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146067432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219769200).

146067432 is an abundant number, since it is smaller than the sum of its proper divisors (293470968).

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

146067432 is a wasteful number, since it uses less digits than its factorization.

146067432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 146067432 is about 12085.8360074924. The cubic root of 146067432 is about 526.6447971122.

The spelling of 146067432 in words is "one hundred forty-six million, sixty-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 232 294 348 392 406 588 609 696 812 1176 1218 1421 1624 2436 2842 4263 4283 4872 5684 8526 8566 11368 12849 17052 17132 25698 29981 34104 34264 51396 59962 89943 102792 119924 124207 179886 209867 239848 248414 359772 372621 419734 496828 629601 719544 745242 839468 869449 993656 1259202 1490484 1678936 1738898 2518404 2608347 2980968 3477796 5036808 5216694 6086143 6955592 10433388 12172286 18258429 20866776 24344572 36516858 48689144 73033716 146067432