Search a number
-
+
146678728 = 23723472423
BaseRepresentation
bin10001011111000…
…10001111001000
3101020000001101111
420233202033020
5300022204403
622315500104
73430514530
oct1057421710
9336001344
10146678728
1175883999
1241157634
1324508261
14156a24c0
15cd2556d
hex8be23c8

146678728 has 64 divisors (see below), whose sum is σ = 335093760. Its totient is φ = 58825536.

The previous prime is 146678717. The next prime is 146678731. The reversal of 146678728 is 827876641.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59325 + ... + 61747.

It is an arithmetic number, because the mean of its divisors is an integer number (5235840).

Almost surely, 2146678728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146678728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167546880).

146678728 is an abundant number, since it is smaller than the sum of its proper divisors (188415032).

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

146678728 is a wasteful number, since it uses less digits than its factorization.

146678728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2502 counting only the distinct ones).

The product of its digits is 903168, while the sum is 49.

The square root of 146678728 is about 12111.0993720636. The cubic root of 146678728 is about 527.3784486671.

The spelling of 146678728 in words is "one hundred forty-six million, six hundred seventy-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 47 56 92 94 161 184 188 322 329 376 644 658 1081 1288 1316 2162 2423 2632 4324 4846 7567 8648 9692 15134 16961 19384 30268 33922 55729 60536 67844 111458 113881 135688 222916 227762 390103 445832 455524 780206 797167 911048 1560412 1594334 2619263 3120824 3188668 5238526 6377336 10477052 18334841 20954104 36669682 73339364 146678728