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145480335 = 35711139689
BaseRepresentation
bin10001010101111…
…01101010001111
3101010202011111120
420222331222033
5244220332320
622234052023
73414363630
oct1052755217
9333664446
10145480335
1175135590
124087a013
13241a8950
141546d887
15cb8a440
hex8abda8f

145480335 has 64 divisors (see below), whose sum is σ = 312560640. Its totient is φ = 55802880.

The previous prime is 145480333. The next prime is 145480367. The reversal of 145480335 is 533084541.

It is not a de Polignac number, because 145480335 - 21 = 145480333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 145480296 and 145480305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145480331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10171 + ... + 19859.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2145480335 is an apocalyptic number.

145480335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145480335 is an abundant number, since it is smaller than the sum of its proper divisors (167080305).

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

145480335 is a wasteful number, since it uses less digits than its factorization.

145480335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9728.

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 145480335 is about 12061.5229137949. The cubic root of 145480335 is about 525.9382586912.

The spelling of 145480335 in words is "one hundred forty-five million, four hundred eighty thousand, three hundred thirty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 55 65 77 91 105 143 165 195 231 273 385 429 455 715 1001 1155 1365 2145 3003 5005 9689 15015 29067 48445 67823 106579 125957 145335 203469 319737 339115 377871 532895 629785 746053 881699 1017345 1385527 1598685 1889355 2238159 2645097 3730265 4156581 4408495 6927635 9698689 11190795 13225485 20782905 29096067 48493445 145480335