Search a number
-
+
146739870 = 23351015381
BaseRepresentation
bin10001011111100…
…01001010011110
3101020010011021000
420233301022132
5300031133440
622321051130
73431161014
oct1057611236
9336104230
10146739870
1175915922
1241186aa6
132452a034
14156ba8b4
15cd38730
hex8bf129e

146739870 has 64 divisors (see below), whose sum is σ = 395254080. Its totient is φ = 38736000.

The previous prime is 146739841. The next prime is 146739883. The reversal of 146739870 is 78937641.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24580 + ... + 29960.

It is an arithmetic number, because the mean of its divisors is an integer number (6175845).

Almost surely, 2146739870 is an apocalyptic number.

146739870 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 146739870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197627040).

146739870 is an abundant number, since it is smaller than the sum of its proper divisors (248514210).

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

146739870 is a wasteful number, since it uses less digits than its factorization.

146739870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5498 (or 5492 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 146739870 is about 12113.6233225241. The cubic root of 146739870 is about 527.4517164913.

The spelling of 146739870 in words is "one hundred forty-six million, seven hundred thirty-nine thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 135 202 270 303 505 606 909 1010 1515 1818 2727 3030 4545 5381 5454 9090 10762 13635 16143 26905 27270 32286 48429 53810 80715 96858 145287 161430 242145 290574 484290 543481 726435 1086962 1452870 1630443 2717405 3260886 4891329 5434810 8152215 9782658 14673987 16304430 24456645 29347974 48913290 73369935 146739870