Search a number
-
+
150211152 = 24337133821
BaseRepresentation
bin10001111010000…
…00101001010000
3101110122111222000
420331000221100
5301423224102
622523314000
73502526250
oct1075005120
9343574860
10150211152
1177876953
124237b900
1325174050
1415d41960
15d2c201c
hex8f40a50

150211152 has 160 divisors (see below), whose sum is σ = 530799360. Its totient is φ = 39605760.

The previous prime is 150211147. The next prime is 150211181. The reversal of 150211152 is 251112051.

150211152 is a `hidden beast` number, since 1 + 502 + 11 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37402 + ... + 41222.

It is an arithmetic number, because the mean of its divisors is an integer number (3317496).

Almost surely, 2150211152 is an apocalyptic number.

150211152 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 150211152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265399680).

150211152 is an abundant number, since it is smaller than the sum of its proper divisors (380588208).

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

150211152 is a wasteful number, since it uses less digits than its factorization.

150211152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 150211152 is about 12256.0659267156. The cubic root of 150211152 is about 531.5784815671.

The spelling of 150211152 in words is "one hundred fifty million, two hundred eleven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 3821 4368 4914 5616 6552 7642 9828 11463 13104 15284 19656 22926 26747 30568 34389 39312 45852 49673 53494 61136 68778 80241 91704 99346 103167 106988 137556 149019 160482 183408 198692 206334 213976 240723 275112 298038 320964 347711 397384 412668 427952 447057 481446 550224 596076 641928 695422 722169 794768 825336 894114 962892 1043133 1192152 1283856 1341171 1390844 1444338 1650672 1788228 1925784 2086266 2384304 2682342 2781688 2888676 3129399 3576456 3851568 4172532 5364684 5563376 5777352 6258798 7152912 8345064 9388197 10729368 11554704 12517596 16690128 18776394 21458736 25035192 37552788 50070384 75105576 150211152