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145454016 = 2631315783
BaseRepresentation
bin10001010101101…
…11001111000000
3101010200211101210
420222313033000
5244214012031
622233330120
73414224121
oct1052671700
9333624353
10145454016
1175117834
1240866940
1324199986
1415464048
15cb82746
hex8ab73c0

145454016 has 56 divisors (see below), whose sum is σ = 387851904. Its totient is φ = 48106240.

The previous prime is 145453969. The next prime is 145454017. The reversal of 145454016 is 610454541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145454017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22261 + ... + 28043.

Almost surely, 2145454016 is an apocalyptic number.

145454016 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 145454016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193925952).

145454016 is an abundant number, since it is smaller than the sum of its proper divisors (242397888).

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

145454016 is a wasteful number, since it uses less digits than its factorization.

145454016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5929 (or 5919 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 145454016 is about 12060.4318330647. The cubic root of 145454016 is about 525.9065407644.

The spelling of 145454016 in words is "one hundred forty-five million, four hundred fifty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 393 524 786 1048 1572 2096 3144 4192 5783 6288 8384 11566 12576 17349 23132 25152 34698 46264 69396 92528 138792 185056 277584 370112 555168 757573 1110336 1515146 2272719 3030292 4545438 6060584 9090876 12121168 18181752 24242336 36363504 48484672 72727008 145454016