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145332300 = 223523713093
BaseRepresentation
bin10001010100110…
…01100001001100
3101010110122102210
420222121201030
5244201113200
622230550420
73413206221
oct1052314114
9333418383
10145332300
1175044343
1240808410
1324156459
1415431948
15cb5b650
hex8a9984c

145332300 has 72 divisors (see below), whose sum is σ = 431892496. Its totient is φ = 37704960.

The previous prime is 145332277. The next prime is 145332329. The reversal of 145332300 is 3233541.

It is a super-2 number, since 2×1453323002 = 42242954846580000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 4554 + ... + 17646.

Almost surely, 2145332300 is an apocalyptic number.

145332300 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 145332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215946248).

145332300 is an abundant number, since it is smaller than the sum of its proper divisors (286560196).

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

145332300 is a wasteful number, since it uses less digits than its factorization.

145332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13147 (or 13140 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 145332300 is about 12055.3846890093. The cubic root of 145332300 is about 525.7598068676.

Adding to 145332300 its reverse (3233541), we get a palindrome (148565841).

The spelling of 145332300 in words is "one hundred forty-five million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 13093 26186 39279 52372 65465 78558 130930 157116 196395 261860 327325 392790 484441 654650 785580 968882 981975 1309300 1453323 1937764 1963950 2422205 2906646 3927900 4844410 5813292 7266615 9688820 12111025 14533230 24222050 29066460 36333075 48444100 72666150 145332300