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145998300 = 223527371879
BaseRepresentation
bin10001011001111…
…00000111011100
3101011201111000110
420230330013130
5244333421200
622253130020
73421652010
oct1054740734
9334644013
10145998300
1175459758
1240a89910
132432a636
1415566540
15cc3db50
hex8b3c1dc

145998300 has 144 divisors (see below), whose sum is σ = 496079360. Its totient is φ = 32451840.

The previous prime is 145998283. The next prime is 145998301. The reversal of 145998300 is 3899541.

145998300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145998301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76761 + ... + 78639.

Almost surely, 2145998300 is an apocalyptic number.

145998300 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 145998300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248039680).

145998300 is an abundant number, since it is smaller than the sum of its proper divisors (350081060).

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

145998300 is a wasteful number, since it uses less digits than its factorization.

145998300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 145998300 is about 12082.9756268893. The cubic root of 145998300 is about 526.5616990687.

The spelling of 145998300 in words is "one hundred forty-five million, nine hundred ninety-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 37 42 50 60 70 74 75 84 100 105 111 140 148 150 175 185 210 222 259 300 350 370 420 444 518 525 555 700 740 777 925 1036 1050 1110 1295 1554 1850 1879 2100 2220 2590 2775 3108 3700 3758 3885 5180 5550 5637 6475 7516 7770 9395 11100 11274 12950 13153 15540 18790 19425 22548 25900 26306 28185 37580 38850 39459 46975 52612 56370 65765 69523 77700 78918 93950 112740 131530 139046 140925 157836 187900 197295 208569 263060 278092 281850 328825 347615 394590 417138 486661 563700 657650 695230 789180 834276 973322 986475 1042845 1315300 1390460 1459983 1738075 1946644 1972950 2085690 2433305 2919966 3476150 3945900 4171380 4866610 5214225 5839932 6952300 7299915 9733220 10428450 12166525 14599830 20856900 24333050 29199660 36499575 48666100 72999150 145998300