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143268972 = 223711473299
BaseRepresentation
bin10001000101000…
…01110001101100
3100222120211002020
420202201301230
5243134101342
622114430140
73356523540
oct1042416154
9328524066
10143268972
1173965110
123bb92350
13238b3252
1415055a20
15c8a00ec
hex88a1c6c

143268972 has 96 divisors (see below), whose sum is σ = 425779200. Its totient is φ = 36409920.

The previous prime is 143268959. The next prime is 143268973. The reversal of 143268972 is 279862341.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (143268973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41779 + ... + 45077.

It is an arithmetic number, because the mean of its divisors is an integer number (4435200).

Almost surely, 2143268972 is an apocalyptic number.

143268972 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 143268972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212889600).

143268972 is an abundant number, since it is smaller than the sum of its proper divisors (282510228).

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

143268972 is a wasteful number, since it uses less digits than its factorization.

143268972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3369 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 143268972 is about 11969.5017440159. The cubic root of 143268972 is about 523.2598128787.

The spelling of 143268972 in words is "one hundred forty-three million, two hundred sixty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 47 66 77 84 94 132 141 154 188 231 282 308 329 462 517 564 658 924 987 1034 1316 1551 1974 2068 3102 3299 3619 3948 6204 6598 7238 9897 10857 13196 14476 19794 21714 23093 36289 39588 43428 46186 69279 72578 92372 108867 138558 145156 155053 217734 254023 277116 310106 435468 465159 508046 620212 762069 930318 1016092 1085371 1524138 1705583 1860636 2170742 3048276 3256113 3411166 4341484 5116749 6512226 6822332 10233498 11939081 13024452 20466996 23878162 35817243 47756324 71634486 143268972