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145259560 = 235171911243
BaseRepresentation
bin10001010100001…
…11110000101000
3101010022221122201
420222013300220
5244141301220
622225225544
73412454155
oct1052076050
9333287581
10145259560
1174aa4726
12407922b4
132412c304
141541322c
15cb44d0a
hex8a87c28

145259560 has 64 divisors (see below), whose sum is σ = 364305600. Its totient is φ = 51803136.

The previous prime is 145259557. The next prime is 145259567. The reversal of 145259560 is 65952541.

It is a super-2 number, since 2×1452595602 = 42200679542787200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145259567) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7299 + ... + 18541.

It is an arithmetic number, because the mean of its divisors is an integer number (5692275).

Almost surely, 2145259560 is an apocalyptic number.

145259560 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 145259560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182152800).

145259560 is an abundant number, since it is smaller than the sum of its proper divisors (219046040).

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

145259560 is a wasteful number, since it uses less digits than its factorization.

145259560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11290 (or 11286 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The square root of 145259560 is about 12052.3674022990. The cubic root of 145259560 is about 525.6720765407.

The spelling of 145259560 in words is "one hundred forty-five million, two hundred fifty-nine thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1292 1615 2584 3230 6460 11243 12920 22486 44972 56215 89944 112430 191131 213617 224860 382262 427234 449720 764524 854468 955655 1068085 1529048 1708936 1911310 2136170 3631489 3822620 4272340 7262978 7645240 8544680 14525956 18157445 29051912 36314890 72629780 145259560