Search a number
-
+
146911752 = 233313113463
BaseRepresentation
bin10001100000110…
…11001000001000
3101020102220001000
420300123020020
5300102134002
622324455000
73432505101
oct1060331010
9336386030
10146911752
1175a22a79
124124a460
132458a340
14157233a8
15cd6e61c
hex8c1b208

146911752 has 128 divisors (see below), whose sum is σ = 444326400. Its totient is φ = 44706816.

The previous prime is 146911717. The next prime is 146911757. The reversal of 146911752 is 257119641.

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 (146911757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317073 + ... + 317535.

It is an arithmetic number, because the mean of its divisors is an integer number (3471300).

Almost surely, 2146911752 is an apocalyptic number.

146911752 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 146911752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222163200).

146911752 is an abundant number, since it is smaller than the sum of its proper divisors (297414648).

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

146911752 is a wasteful number, since it uses less digits than its factorization.

146911752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 594 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 146911752 is about 12120.7158204456. The cubic root of 146911752 is about 527.6575775645.

The spelling of 146911752 in words is "one hundred forty-six million, nine hundred eleven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 113 117 156 216 226 234 312 339 351 452 463 468 678 702 904 926 936 1017 1356 1389 1404 1469 1852 2034 2712 2778 2808 2938 3051 3704 4068 4167 4407 5556 5876 6019 6102 8136 8334 8814 11112 11752 12038 12204 12501 13221 16668 17628 18057 24076 24408 25002 26442 33336 35256 36114 39663 48152 50004 52319 52884 54171 72228 79326 100008 104638 105768 108342 144456 156957 158652 162513 209276 216684 313914 317304 325026 418552 433368 470871 627828 650052 680147 941742 1255656 1300104 1360294 1412613 1883484 2040441 2720588 2825226 3766968 4080882 5441176 5650452 6121323 8161764 11300904 12242646 16323528 18363969 24485292 36727938 48970584 73455876 146911752