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145331880 = 233541109271
BaseRepresentation
bin10001010100110…
…01011010101000
3101010110121212020
420222121122220
5244201110010
622230544440
73413205051
oct1052313250
9333417766
10145331880
1175043aa1
1240808120
13241561c5
1415431728
15cb5b470
hex8a996a8

145331880 has 128 divisors (see below), whose sum is σ = 452390400. Its totient is φ = 37324800.

The previous prime is 145331863. The next prime is 145331881. The reversal of 145331880 is 88133541.

It is a super-2 number, since 2×1453318802 = 42242710688668800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145331881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536145 + ... + 536415.

It is an arithmetic number, because the mean of its divisors is an integer number (3534300).

Almost surely, 2145331880 is an apocalyptic number.

145331880 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 145331880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226195200).

145331880 is an abundant number, since it is smaller than the sum of its proper divisors (307058520).

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

145331880 is a wasteful number, since it uses less digits than its factorization.

145331880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 145331880 is about 12055.3672693950. The cubic root of 145331880 is about 525.7593003977.

It can be divided in two parts, 1453 and 31880, that added together give a palindrome (33333).

The spelling of 145331880 in words is "one hundred forty-five million, three hundred thirty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 109 120 123 164 205 218 246 271 327 328 410 436 492 542 545 615 654 813 820 872 984 1084 1090 1230 1308 1355 1626 1635 1640 2168 2180 2460 2616 2710 3252 3270 4065 4360 4469 4920 5420 6504 6540 8130 8938 10840 11111 13080 13407 16260 17876 22222 22345 26814 29539 32520 33333 35752 44444 44690 53628 55555 59078 66666 67035 88617 88888 89380 107256 111110 118156 133332 134070 147695 166665 177234 178760 222220 236312 266664 268140 295390 333330 354468 443085 444440 536280 590780 666660 708936 886170 1181560 1211099 1333320 1772340 2422198 3544680 3633297 4844396 6055495 7266594 9688792 12110990 14533188 18166485 24221980 29066376 36332970 48443960 72665940 145331880