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145699008 = 26371331269
BaseRepresentation
bin10001010111100…
…11000011000000
3101011011021110120
420223303003000
5244244332013
622242500240
73416264310
oct1053630300
9334137416
10145699008
1175274904
1240964680
1324254340
14154c9440
15cbd0123
hex8af30c0

145699008 has 224 divisors, whose sum is σ = 491581440. Its totient is φ = 37048320.

The previous prime is 145698991. The next prime is 145699031. The reversal of 145699008 is 800996541.

It is a tau number, because it is divible by the number of its divisors (224).

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

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 31 ways as a sum of consecutive naturals, for example, 541498 + ... + 541766.

It is an arithmetic number, because the mean of its divisors is an integer number (2194560).

Almost surely, 2145699008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145699008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245790720).

145699008 is an abundant number, since it is smaller than the sum of its proper divisors (345882432).

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

145699008 is a wasteful number, since it uses less digits than its factorization.

145699008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 145699008 is about 12070.5844100441. The cubic root of 145699008 is about 526.2016411876.

It can be divided in two parts, 145 and 699008, that added together give a triangular number (699153 = T1182).

The spelling of 145699008 in words is "one hundred forty-five million, six hundred ninety-nine thousand, eight".