Search a number
-
+
146102528 = 2811132307
BaseRepresentation
bin10001011010101…
…01100100000000
3101011220202222202
420231111210000
5244400240103
622255252332
73422564615
oct1055254400
9334822882
10146102528
117551aaa0
1240b1a0a8
1324365c00
141559250c
15cc5e988
hex8b55900

146102528 has 108 divisors (see below), whose sum is σ = 345624048. Its totient is φ = 61102080.

The previous prime is 146102527. The next prime is 146102531. The reversal of 146102528 is 825201641.

It is a self number, because there is not a number n which added to its sum of digits gives 146102528.

It is not an unprimeable number, because it can be changed into a prime (146102527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 475751 + ... + 476057.

Almost surely, 2146102528 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 146102528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172812024).

146102528 is an abundant number, since it is smaller than the sum of its proper divisors (199521520).

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

146102528 is a wasteful number, since it uses less digits than its factorization.

146102528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 146102528 is about 12087.2878678387. The cubic root of 146102528 is about 526.6869731706.

The spelling of 146102528 in words is "one hundred forty-six million, one hundred two thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 169 176 208 256 286 307 338 352 416 572 614 676 704 832 1144 1228 1352 1408 1664 1859 2288 2456 2704 2816 3328 3377 3718 3991 4576 4912 5408 6754 7436 7982 9152 9824 10816 13508 14872 15964 18304 19648 21632 27016 29744 31928 36608 39296 43264 43901 51883 54032 59488 63856 78592 87802 103766 108064 118976 127712 175604 207532 216128 237952 255424 351208 415064 432256 475904 510848 570713 702416 830128 864512 1021696 1141426 1404832 1660256 2282852 2809664 3320512 4565704 5619328 6641024 9131408 11238656 13282048 18262816 36525632 73051264 146102528