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145503980 = 225233783103
BaseRepresentation
bin10001010110000…
…11011011101100
3101010210100221022
420223003123230
5244222111410
622234353312
73414522566
oct1053033354
9333710838
10145503980
1175151326
124088b838
13241b663b
1415478336
15cb92455
hex8ac36ec

145503980 has 96 divisors (see below), whose sum is σ = 334623744. Its totient is φ = 52994304.

The previous prime is 145503973. The next prime is 145504019. The reversal of 145503980 is 89305541.

145503980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 145503980.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1412609 + ... + 1412711.

It is an arithmetic number, because the mean of its divisors is an integer number (3485664).

Almost surely, 2145503980 is an apocalyptic number.

145503980 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 145503980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167311872).

145503980 is an abundant number, since it is smaller than the sum of its proper divisors (189119764).

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

145503980 is a wasteful number, since it uses less digits than its factorization.

145503980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 145503980 is about 12062.5030569944. The cubic root of 145503980 is about 525.9667508271.

The spelling of 145503980 in words is "one hundred forty-five million, five hundred three thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 23 37 46 74 83 92 103 115 148 166 185 206 230 332 370 412 415 460 515 740 830 851 1030 1660 1702 1909 2060 2369 3071 3404 3811 3818 4255 4738 6142 7622 7636 8510 8549 9476 9545 11845 12284 15244 15355 17020 17098 19055 19090 23690 30710 34196 38110 38180 42745 47380 61420 70633 76220 85490 87653 141266 170980 175306 196627 282532 316313 350612 353165 393254 438265 632626 706330 786508 876530 983135 1265252 1412660 1581565 1753060 1966270 3163130 3932540 6326260 7275199 14550398 29100796 36375995 72751990 145503980