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145911780 = 2235574289
BaseRepresentation
bin10001011001001…
…10111111100100
3101011120002100000
420230212333210
5244323134110
622251221300
73421141530
oct1054467744
9334502300
10145911780
11753aa753
1240a47830
13242ca141
1415542bc0
15cc231c0
hex8b26fe4

145911780 has 144 divisors (see below), whose sum is σ = 524684160. Its totient is φ = 33343488.

The previous prime is 145911769. The next prime is 145911791. The reversal of 145911780 is 87119541.

It is an interprime number because it is at equal distance from previous prime (145911769) and next prime (145911791).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31876 + ... + 36164.

It is an arithmetic number, because the mean of its divisors is an integer number (3643640).

Almost surely, 2145911780 is an apocalyptic number.

145911780 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 145911780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262342080).

145911780 is an abundant number, since it is smaller than the sum of its proper divisors (378772380).

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

145911780 is a wasteful number, since it uses less digits than its factorization.

145911780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 145911780 is about 12079.3948523922. The cubic root of 145911780 is about 526.4576633355.

It can be divided in two parts, 145 and 911780, that added together give a triangular number (911925 = T1350).

The spelling of 145911780 in words is "one hundred forty-five million, nine hundred eleven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3402 3780 4289 4860 5670 6804 8505 8578 11340 12867 17010 17156 21445 25734 30023 34020 38601 42890 51468 60046 64335 77202 85780 90069 115803 120092 128670 150115 154404 180138 193005 231606 257340 270207 300230 347409 360276 386010 450345 463212 540414 579015 600460 694818 772020 810621 900690 1042227 1080828 1158030 1351035 1389636 1621242 1737045 1801380 2084454 2316060 2431863 2702070 3242484 3474090 4053105 4168908 4863726 5211135 5404140 6948180 7295589 8106210 9727452 10422270 12159315 14591178 16212420 20844540 24318630 29182356 36477945 48637260 72955890 145911780