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145021300 = 225219127601
BaseRepresentation
bin10001010010011…
…01100101110100
3101002212211211021
420221031211310
5244111140200
622220150524
73410442424
oct1051154564
9332784737
10145021300
1174951716
1240698444
1324077a28
1415390484
15cae941a
hex8a4d974

145021300 has 72 divisors (see below), whose sum is σ = 334423040. Its totient is φ = 54432000.

The previous prime is 145021291. The next prime is 145021301. The reversal of 145021300 is 3120541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145021301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 241000 + ... + 241600.

Almost surely, 2145021300 is an apocalyptic number.

145021300 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 145021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167211520).

145021300 is an abundant number, since it is smaller than the sum of its proper divisors (189401740).

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

145021300 is a wasteful number, since it uses less digits than its factorization.

145021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 145021300 is about 12042.4789806750. The cubic root of 145021300 is about 525.3845104545.

Adding to 145021300 its reverse (3120541), we get a palindrome (148141841).

The spelling of 145021300 in words is "one hundred forty-five million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 127 190 254 380 475 508 601 635 950 1202 1270 1900 2404 2413 2540 3005 3175 4826 6010 6350 9652 11419 12020 12065 12700 15025 22838 24130 30050 45676 48260 57095 60100 60325 76327 114190 120650 152654 228380 241300 285475 305308 381635 570950 763270 1141900 1450213 1526540 1908175 2900426 3816350 5800852 7251065 7632700 14502130 29004260 36255325 72510650 145021300