Search a number
-
+
139411152 = 24331741463
BaseRepresentation
bin10000100111100…
…11111011010000
3100201022211011000
420103303323100
5241142124102
621500022000
73311655336
oct1023637320
9321284130
10139411152
117176a731
123a831900
1322b6230a
141472db56
15c38c01c
hex84f3ed0

139411152 has 160 divisors (see below), whose sum is σ = 434972160. Its totient is φ = 42577920.

The previous prime is 139411081. The next prime is 139411157. The reversal of 139411152 is 251114931.

It is a happy number.

139411152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139411157) 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, 300873 + ... + 301335.

It is an arithmetic number, because the mean of its divisors is an integer number (2718576).

Almost surely, 2139411152 is an apocalyptic number.

139411152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

139411152 is the 5904-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139411152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217486080).

139411152 is an abundant number, since it is smaller than the sum of its proper divisors (295561008).

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

139411152 is a wasteful number, since it uses less digits than its factorization.

139411152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 526 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 139411152 is about 11807.2499761799. The cubic root of 139411152 is about 518.5203895634.

The spelling of 139411152 in words is "one hundred thirty-nine million, four hundred eleven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 41 48 51 54 68 72 82 102 108 123 136 144 153 164 204 216 246 272 306 328 369 408 432 459 463 492 612 656 697 738 816 918 926 984 1107 1224 1389 1394 1476 1836 1852 1968 2091 2214 2448 2778 2788 2952 3672 3704 4167 4182 4428 5556 5576 5904 6273 7344 7408 7871 8334 8364 8856 11112 11152 12501 12546 15742 16668 16728 17712 18819 18983 22224 23613 25002 25092 31484 33336 33456 37638 37966 47226 50004 50184 56949 62968 66672 70839 75276 75932 94452 100008 100368 113898 125936 141678 150552 151864 170847 188904 200016 212517 227796 283356 301104 303728 322711 341694 377808 425034 455592 512541 566712 645422 683388 850068 911184 968133 1025082 1133424 1290844 1366776 1700136 1936266 2050164 2581688 2733552 2904399 3400272 3872532 4100328 5163376 5808798 7745064 8200656 8713197 11617596 15490128 17426394 23235192 34852788 46470384 69705576 139411152