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145000980 = 223251276343
BaseRepresentation
bin10001010010010…
…00101000010100
3101002211210221200
420221020220110
5244110012410
622215512500
73410326245
oct1051105024
9332753850
10145000980
1174938423
1240688730
132406b6c7
1415386ccc
15cae33c0
hex8a48a14

145000980 has 72 divisors (see below), whose sum is σ = 443369472. Its totient is φ = 38356416.

The previous prime is 145000979. The next prime is 145000987. The reversal of 145000980 is 89000541.

145000980 is digitally balanced in base 3, 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 (145000987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19689 + ... + 26031.

Almost surely, 2145000980 is an apocalyptic number.

145000980 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 145000980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221684736).

145000980 is an abundant number, since it is smaller than the sum of its proper divisors (298368492).

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

145000980 is a wasteful number, since it uses less digits than its factorization.

145000980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6485 (or 6480 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 145000980 is about 12041.6352710087. The cubic root of 145000980 is about 525.3599708135.

The spelling of 145000980 in words is "one hundred forty-five million, nine hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3810 4572 5715 6343 7620 11430 12686 19029 22860 25372 31715 38058 57087 63430 76116 95145 114174 126860 190290 228348 285435 380580 570870 805561 1141740 1611122 2416683 3222244 4027805 4833366 7250049 8055610 9666732 12083415 14500098 16111220 24166830 29000196 36250245 48333660 72500490 145000980