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145848200 = 23527110271
BaseRepresentation
bin10001011000101…
…11011110001000
3101011102212010012
420230113132020
5244314120300
622250011052
73420455261
oct1054273610
9334385105
10145848200
1175366a03
1240a16a88
13242a7214
1415527968
15cc0e435
hex8b17788

145848200 has 48 divisors (see below), whose sum is σ = 343906560. Its totient is φ = 57512000.

The previous prime is 145848137. The next prime is 145848223. The reversal of 145848200 is 2848541.

It is a happy number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9065 + ... + 19335.

It is an arithmetic number, because the mean of its divisors is an integer number (7164720).

Almost surely, 2145848200 is an apocalyptic number.

145848200 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 145848200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171953280).

145848200 is an abundant number, since it is smaller than the sum of its proper divisors (198058360).

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

145848200 is a wasteful number, since it uses less digits than its factorization.

145848200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10358 (or 10349 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 145848200 is about 12076.7628112835. The cubic root of 145848200 is about 526.3811855232.

The spelling of 145848200 in words is "one hundred forty-five million, eight hundred forty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 710 1420 1775 2840 3550 7100 10271 14200 20542 41084 51355 82168 102710 205420 256775 410840 513550 729241 1027100 1458482 2054200 2916964 3646205 5833928 7292410 14584820 18231025 29169640 36462050 72924100 145848200