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145230960 = 24357137631
BaseRepresentation
bin10001010100000…
…00110001110000
3101010021111102110
420222000301300
5244134342320
622224445320
73412304610
oct1052006160
9333244373
10145230960
1174a85196
1240779840
132411c2a4
1415406a40
15cb3b5e0
hex8a80c70

145230960 has 160 divisors (see below), whose sum is σ = 519109632. Its totient is φ = 32901120.

The previous prime is 145230959. The next prime is 145230989. The reversal of 145230960 is 69032541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 229845 + ... + 230475.

Almost surely, 2145230960 is an apocalyptic number.

145230960 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 145230960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259554816).

145230960 is an abundant number, since it is smaller than the sum of its proper divisors (373878672).

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

145230960 is a wasteful number, since it uses less digits than its factorization.

145230960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 145230960 is about 12051.1808550034. The cubic root of 145230960 is about 525.6375746046.

The spelling of 145230960 in words is "one hundred forty-five million, two hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 137 140 168 210 240 274 280 336 411 420 548 560 631 685 822 840 959 1096 1262 1370 1644 1680 1893 1918 2055 2192 2524 2740 2877 3155 3288 3786 3836 4110 4417 4795 5048 5480 5754 6310 6576 7572 7672 8220 8834 9465 9590 10096 10960 11508 12620 13251 14385 15144 15344 16440 17668 18930 19180 22085 23016 25240 26502 28770 30288 32880 35336 37860 38360 44170 46032 50480 53004 57540 66255 70672 75720 76720 86447 88340 106008 115080 132510 151440 172894 176680 212016 230160 259341 265020 345788 353360 432235 518682 530040 605129 691576 864470 1037364 1060080 1210258 1296705 1383152 1728940 1815387 2074728 2420516 2593410 3025645 3457880 3630774 4149456 4841032 5186820 6051290 6915760 7261548 9076935 9682064 10373640 12102580 14523096 18153870 20747280 24205160 29046192 36307740 48410320 72615480 145230960