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146448960 = 26357193137
BaseRepresentation
bin10001011101010…
…10001001000000
3101012120101012120
420232222021000
5244442331320
622310524240
73425536620
oct1056521100
9335511176
10146448960
11757372a9
1241066680
13244577b8
1415642880
15cccc440
hex8baa240

146448960 has 448 divisors, whose sum is σ = 593018880. Its totient is φ = 29859840.

The previous prime is 146448959. The next prime is 146448977. The reversal of 146448960 is 69844641.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3958062 + ... + 3958098.

Almost surely, 2146448960 is an apocalyptic number.

146448960 is a gapful number since it is divisible by the number (10) 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 146448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296509440).

146448960 is an abundant number, since it is smaller than the sum of its proper divisors (446569920).

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

146448960 is a wasteful number, since it uses less digits than its factorization.

146448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 146448960 is about 12101.6098102690. The cubic root of 146448960 is about 527.1029303731.

The spelling of 146448960 in words is "one hundred forty-six million, four hundred forty-eight thousand, nine hundred sixty".