Search a number
-
+
146601416 = 2313319439
BaseRepresentation
bin10001011110011…
…11010111001000
3101012212010100002
420233033113020
5300012221131
622314102132
73430043243
oct1057172710
9335763302
10146601416
11758308a5
124111a948
13244ac000
141568225a
15cd0c6cb
hex8bcf5c8

146601416 has 64 divisors (see below), whose sum is σ = 314160000. Its totient is φ = 63955008.

The previous prime is 146601401. The next prime is 146601443. The reversal of 146601416 is 614106641.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333725 + ... + 334163.

It is an arithmetic number, because the mean of its divisors is an integer number (4908750).

Almost surely, 2146601416 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 146601416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157080000).

146601416 is an abundant number, since it is smaller than the sum of its proper divisors (167558584).

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

146601416 is a wasteful number, since it uses less digits than its factorization.

146601416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 146601416 is about 12107.9071684581. The cubic root of 146601416 is about 527.2857748150.

The spelling of 146601416 in words is "one hundred forty-six million, six hundred one thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 169 247 338 439 494 676 878 988 1352 1756 1976 2197 3211 3512 4394 5707 6422 8341 8788 11414 12844 16682 17576 22828 25688 33364 41743 45656 66728 74191 83486 108433 148382 166972 216866 296764 333944 433732 593528 867464 964483 1409629 1928966 2819258 3857932 5638516 7715864 11277032 18325177 36650354 73300708 146601416