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145236672 = 2633712007
BaseRepresentation
bin10001010100000…
…10001011000000
3101010021210021000
420222002023000
5244140033142
622224532000
73412330350
oct1052021300
9333253230
10145236672
1174a89509
1240781000
1324121a79
1415408b60
15cb3d14c
hex8a822c0

145236672 has 112 divisors (see below), whose sum is σ = 488005120. Its totient is φ = 41492736.

The previous prime is 145236659. The next prime is 145236673. The reversal of 145236672 is 276632541.

145236672 is a `hidden beast` number, since 1 + 4 + 523 + 66 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145236673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6093 + ... + 18099.

Almost surely, 2145236672 is an apocalyptic number.

145236672 is a gapful number since it is divisible by the number (12) 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 145236672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244002560).

145236672 is an abundant number, since it is smaller than the sum of its proper divisors (342768448).

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

145236672 is a wasteful number, since it uses less digits than its factorization.

145236672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12035 (or 12019 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 145236672 is about 12051.4178418973. The cubic root of 145236672 is about 525.6444657029.

The spelling of 145236672 in words is "one hundred forty-five million, two hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12007 12096 24014 36021 48028 72042 84049 96056 108063 144084 168098 192112 216126 252147 288168 324189 336196 384224 432252 504294 576336 648378 672392 756441 768448 864504 1008588 1152672 1296756 1344784 1512882 1729008 2017176 2269323 2305344 2593512 2689568 3025764 3458016 4034352 4538646 5187024 5379136 6051528 6916032 8068704 9077292 10374048 12103056 16137408 18154584 20748096 24206112 36309168 48412224 72618336 145236672