Search a number
-
+
146159472 = 243173747103
BaseRepresentation
bin10001011011000…
…11011101110000
3101012000200002210
420231203131300
5244404100342
622300412120
73423222624
oct1055433560
9335020083
10146159472
1175559858
1240b47040
1324385ac4
14155a9184
15cc7179c
hex8b63770

146159472 has 160 divisors (see below), whose sum is σ = 423401472. Its totient is φ = 43241472.

The previous prime is 146159471. The next prime is 146159483. The reversal of 146159472 is 274951641.

146159472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 146159472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146159471) 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, 1418973 + ... + 1419075.

Almost surely, 2146159472 is an apocalyptic number.

146159472 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 146159472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211700736).

146159472 is an abundant number, since it is smaller than the sum of its proper divisors (277242000).

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

146159472 is a wasteful number, since it uses less digits than its factorization.

146159472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 146159472 is about 12089.6431709129. The cubic root of 146159472 is about 526.7553903473.

The spelling of 146159472 in words is "one hundred forty-six million, one hundred fifty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 37 47 48 51 68 74 94 102 103 111 136 141 148 188 204 206 222 272 282 296 309 376 408 412 444 564 592 618 629 752 799 816 824 888 1128 1236 1258 1598 1648 1739 1751 1776 1887 2256 2397 2472 2516 3196 3478 3502 3774 3811 4794 4841 4944 5032 5217 5253 6392 6956 7004 7548 7622 9588 9682 10064 10434 10506 11433 12784 13912 14008 14523 15096 15244 19176 19364 20868 21012 22866 27824 28016 29046 29563 30192 30488 38352 38728 41736 42024 45732 58092 59126 60976 64787 77456 82297 83472 84048 88689 91464 116184 118252 129574 164594 177378 179117 182928 194361 232368 236504 246891 259148 329188 354756 358234 388722 473008 493782 518296 537351 658376 709512 716468 777444 987564 1036592 1074702 1316752 1419024 1432936 1554888 1975128 2149404 2865872 3044989 3109776 3950256 4298808 6089978 8597616 9134967 12179956 18269934 24359912 36539868 48719824 73079736 146159472