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143864496 = 24321079337
BaseRepresentation
bin10001001001100…
…11001010110000
3101000201001222200
420210303022300
5243312130441
622135303200
73364554006
oct1044631260
9330631880
10143864496
1174231586
124021ab00
1323a61329
141516ca76
15c96b7b6
hex89332b0

143864496 has 60 divisors (see below), whose sum is σ = 406427112. Its totient is φ = 47501568.

The previous prime is 143864453. The next prime is 143864507. The reversal of 143864496 is 694468341.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10740 + ... + 20076.

Almost surely, 2143864496 is an apocalyptic number.

143864496 is a gapful number since it is divisible by the number (16) 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 143864496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203213556).

143864496 is an abundant number, since it is smaller than the sum of its proper divisors (262562616).

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

143864496 is a wasteful number, since it uses less digits than its factorization.

143864496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9458 (or 9449 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 143864496 is about 11994.3526711532. The cubic root of 143864496 is about 523.9838194021.

The spelling of 143864496 in words is "one hundred forty-three million, eight hundred sixty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3852 5136 7704 9337 15408 18674 28011 37348 56022 74696 84033 112044 149392 168066 224088 336132 448176 672264 999059 1344528 1998118 2997177 3996236 5994354 7992472 8991531 11988708 15984944 17983062 23977416 35966124 47954832 71932248 143864496