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155408240 = 24513237389
BaseRepresentation
bin10010100001101…
…01011101110000
3101211102120000202
421100311131300
5304241030430
623230534332
73564643151
oct1120653560
9354376022
10155408240
117a7a6569
12440673a8
1326273750
14168d5928
15d99bd45
hex9435770

155408240 has 160 divisors (see below), whose sum is σ = 416223360. Its totient is φ = 53526528.

The previous prime is 155408233. The next prime is 155408261. The reversal of 155408240 is 42804551.

It is a congruent number.

It is an unprimeable number.

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, 1746116 + ... + 1746204.

It is an arithmetic number, because the mean of its divisors is an integer number (2601396).

Almost surely, 2155408240 is an apocalyptic number.

155408240 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 155408240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208111680).

155408240 is an abundant number, since it is smaller than the sum of its proper divisors (260815120).

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

155408240 is a wasteful number, since it uses less digits than its factorization.

155408240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 155408240 is about 12466.2841296033. The cubic root of 155408240 is about 537.6397213836.

The spelling of 155408240 in words is "one hundred fifty-five million, four hundred eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 73 80 89 92 104 115 130 146 178 184 208 230 260 292 299 356 365 368 445 460 520 584 598 712 730 890 920 949 1040 1157 1168 1196 1424 1460 1495 1679 1780 1840 1898 2047 2314 2392 2920 2990 3358 3560 3796 4094 4628 4745 4784 5785 5840 5980 6497 6716 7120 7592 8188 8395 9256 9490 10235 11570 11960 12994 13432 15184 16376 16790 18512 18980 20470 21827 23140 23920 25988 26611 26864 32485 32752 33580 37960 40940 43654 46280 51976 53222 64970 67160 75920 81880 84461 87308 92560 103952 106444 109135 129940 133055 134320 149431 163760 168922 174616 212888 218270 259880 266110 298862 337844 349232 422305 425776 436540 519760 532220 597724 675688 747155 844610 873080 1064440 1195448 1351376 1494310 1689220 1746160 1942603 2128880 2390896 2988620 3378440 3885206 5977240 6756880 7770412 9713015 11954480 15540824 19426030 31081648 38852060 77704120 155408240