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14155152 = 24311171983
BaseRepresentation
bin110101111111…
…110110010000
3222122011012220
4311333312100
512110431102
61223221040
7231213444
oct65776620
928564186
1014155152
117a98a80
1248a7780
132c17c3b
141c46824
1513991bc
hexd7fd90

14155152 has 160 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 3778560.

The previous prime is 14155151. The next prime is 14155153. The reversal of 14155152 is 25155141.

It is an interprime number because it is at equal distance from previous prime (14155151) and next prime (14155153).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14155151) 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, 170503 + ... + 170585.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 214155152 is an apocalyptic number.

14155152 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 14155152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

14155152 is an abundant number, since it is smaller than the sum of its proper divisors (30841968).

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

14155152 is a wasteful number, since it uses less digits than its factorization.

14155152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its digits is 1000, while the sum is 24.

The square root of 14155152 is about 3762.3333185671. Note that the first 4 decimals coincide. The cubic root of 14155152 is about 241.9012870628.

The spelling of 14155152 in words is "fourteen million, one hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 19 22 24 33 34 38 44 48 51 57 66 68 76 83 88 102 114 132 136 152 166 176 187 204 209 228 249 264 272 304 323 332 374 408 418 456 498 528 561 627 646 664 748 816 836 912 913 969 996 1122 1254 1292 1328 1411 1496 1577 1672 1826 1938 1992 2244 2508 2584 2739 2822 2992 3154 3344 3553 3652 3876 3984 4233 4488 4731 5016 5168 5478 5644 6308 7106 7304 7752 8466 8976 9462 10032 10659 10956 11288 12616 14212 14608 15504 15521 16932 17347 18924 21318 21912 22576 25232 26809 28424 31042 33864 34694 37848 42636 43824 46563 52041 53618 56848 62084 67728 69388 75696 80427 85272 93126 104082 107236 124168 138776 160854 170544 186252 208164 214472 248336 277552 294899 321708 372504 416328 428944 589798 643416 745008 832656 884697 1179596 1286832 1769394 2359192 3538788 4718384 7077576 14155152