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145975600 = 24521721467
BaseRepresentation
bin10001011001101…
…10100100110000
3101011200022212201
420230312210300
5244332204400
622252432544
73421525561
oct1054664460
9334608781
10145975600
11754436a1
1240a78754
13243201c4
141555c168
15cc3706a
hex8b36930

145975600 has 60 divisors (see below), whose sum is σ = 371353464. Its totient is φ = 54952960.

The previous prime is 145975597. The next prime is 145975607. The reversal of 145975600 is 6579541.

145975600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 145975600.

It is not an unprimeable number, because it can be changed into a prime (145975607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3934 + ... + 17533.

Almost surely, 2145975600 is an apocalyptic number.

145975600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145975600 is an abundant number, since it is smaller than the sum of its proper divisors (225377864).

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

145975600 is a wasteful number, since it uses less digits than its factorization.

145975600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21502 (or 21491 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 145975600 is about 12082.0362522217. The cubic root of 145975600 is about 526.5344074949.

The spelling of 145975600 in words is "one hundred forty-five million, nine hundred seventy-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 21467 42934 85868 107335 171736 214670 343472 364939 429340 536675 729878 858680 1073350 1459756 1717360 1824695 2146700 2919512 3649390 4293400 5839024 7298780 8586800 9123475 14597560 18246950 29195120 36493900 72987800 145975600