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145488840 = 233572109227
BaseRepresentation
bin10001010101111…
…11101111001000
3101010202121011120
420222333233020
5244221120330
622234155240
73414430500
oct1052775710
9333677146
10145488840
1175140a12
1240882b20
13241ac793
1415472a00
15cb8cc10
hex8abfbc8

145488840 has 192 divisors, whose sum is σ = 514641600. Its totient is φ = 32804352.

The previous prime is 145488821. The next prime is 145488841. The reversal of 145488840 is 48884541.

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

It is a junction number, because it is equal to n+sod(n) for n = 145488792 and 145488801.

It is not an unprimeable number, because it can be changed into a prime (145488841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 640807 + ... + 641033.

It is an arithmetic number, because the mean of its divisors is an integer number (2680425).

Almost surely, 2145488840 is an apocalyptic number.

145488840 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 145488840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257320800).

145488840 is an abundant number, since it is smaller than the sum of its proper divisors (369152760).

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

145488840 is a wasteful number, since it uses less digits than its factorization.

145488840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The square root of 145488840 is about 12061.8754760609. The cubic root of 145488840 is about 525.9485075396.

The spelling of 145488840 in words is "one hundred forty-five million, four hundred eighty-eight thousand, eight hundred forty".