Search a number
-
+
146850732 = 22357113191
BaseRepresentation
bin10001100000011…
…00001110101100
3101020022210100000
420300030032230
5300043210412
622323304300
73432132150
oct1060141654
9336283300
10146850732
1175991146
124121b090
1324568632
1415709060
15cd5b4dc
hex8c0c3ac

146850732 has 144 divisors (see below), whose sum is σ = 446164992. Its totient is φ = 41368320.

The previous prime is 146850731. The next prime is 146850763. The reversal of 146850732 is 237058641.

146850732 is a `hidden beast` number, since 146 + 8 + 507 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (146850731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 768757 + ... + 768947.

It is an arithmetic number, because the mean of its divisors is an integer number (3098368).

Almost surely, 2146850732 is an apocalyptic number.

146850732 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 146850732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223082496).

146850732 is an abundant number, since it is smaller than the sum of its proper divisors (299314260).

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

146850732 is a wasteful number, since it uses less digits than its factorization.

146850732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 146850732 is about 12118.1983809476. The cubic root of 146850732 is about 527.5845130121.

The spelling of 146850732 in words is "one hundred forty-six million, eight hundred fifty thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 113 126 162 189 191 226 243 252 324 339 378 382 452 486 567 573 678 756 764 791 972 1017 1134 1146 1337 1356 1582 1701 1719 2034 2268 2292 2373 2674 3051 3164 3402 3438 4011 4068 4746 5157 5348 6102 6804 6876 7119 8022 9153 9492 10314 12033 12204 14238 15471 16044 18306 20628 21357 21583 24066 27459 28476 30942 36099 36612 42714 43166 46413 48132 54918 61884 64071 64749 72198 85428 86332 92826 108297 109836 128142 129498 144396 151081 185652 192213 194247 216594 256284 258996 302162 324891 384426 388494 433188 453243 582741 604324 649782 768852 776988 906486 1165482 1299564 1359729 1748223 1812972 2330964 2719458 3496446 4079187 5244669 5438916 6992892 8158374 10489338 12237561 16316748 20978676 24475122 36712683 48950244 73425366 146850732