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145501980 = 2235131710973
BaseRepresentation
bin10001010110000…
…10111100011100
3101010210021012020
420223002330130
5244222030410
622234340140
73414514011
oct1053027434
9333707166
10145501980
117514a878
124088a650
13241b5760
1415477708
15cb91a70
hex8ac2f1c

145501980 has 96 divisors (see below), whose sum is σ = 464595264. Its totient is φ = 33705984.

The previous prime is 145501931. The next prime is 145501987. The reversal of 145501980 is 89105541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145501987) 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 31 ways as a sum of consecutive naturals, for example, 7774 + ... + 18746.

It is an arithmetic number, because the mean of its divisors is an integer number (4839534).

Almost surely, 2145501980 is an apocalyptic number.

145501980 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 145501980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232297632).

145501980 is an abundant number, since it is smaller than the sum of its proper divisors (319093284).

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

145501980 is a wasteful number, since it uses less digits than its factorization.

145501980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11015 (or 11013 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 145501980 is about 12062.4201551762. The cubic root of 145501980 is about 525.9643409542.

The spelling of 145501980 in words is "one hundred forty-five million, five hundred one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 3315 4420 6630 10973 13260 21946 32919 43892 54865 65838 109730 131676 142649 164595 186541 219460 285298 329190 373082 427947 559623 570596 658380 713245 746164 855894 932705 1119246 1426490 1711788 1865410 2139735 2238492 2425033 2798115 2852980 3730820 4279470 4850066 5596230 7275099 8558940 9700132 11192460 12125165 14550198 24250330 29100396 36375495 48500660 72750990 145501980