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145255600 = 2452727411
BaseRepresentation
bin10001010100001…
…10110010110000
3101010022202020001
420222012302300
5244141134400
622225155344
73412436500
oct1052066260
9333282201
10145255600
1174aa1756
124078bb54
132412a579
1415411a00
15cb43a6a
hex8a86cb0

145255600 has 90 divisors (see below), whose sum is σ = 406007124. Its totient is φ = 49795200.

The previous prime is 145255597. The next prime is 145255631. The reversal of 145255600 is 6552541.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 17 ways as a sum of consecutive naturals, for example, 15895 + ... + 23305.

Almost surely, 2145255600 is an apocalyptic number.

145255600 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 145255600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203003562).

145255600 is an abundant number, since it is smaller than the sum of its proper divisors (260751524).

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

145255600 is a wasteful number, since it uses less digits than its factorization.

145255600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7443 (or 7425 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 145255600 is about 12052.2031181025. The cubic root of 145255600 is about 525.6672996197.

The spelling of 145255600 in words is "one hundred forty-five million, two hundred fifty-five thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 350 392 400 490 560 700 784 980 1225 1400 1960 2450 2800 3920 4900 7411 9800 14822 19600 29644 37055 51877 59288 74110 103754 118576 148220 185275 207508 259385 296440 363139 370550 415016 518770 592880 726278 741100 830032 1037540 1296925 1452556 1482200 1815695 2075080 2593850 2905112 2964400 3631390 4150160 5187700 5810224 7262780 9078475 10375400 14525560 18156950 20750800 29051120 36313900 72627800 145255600