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155303040 = 2735471721
BaseRepresentation
bin10010100000110…
…11110010000000
3101211020012201110
421100123302000
5304224144130
623224403320
73564024354
oct1120336200
9354205643
10155303040
117a734522
1244016540
13262378b9
14168a9464
15d97aab0
hex941bc80

155303040 has 128 divisors (see below), whose sum is σ = 505854720. Its totient is φ = 40509440.

The previous prime is 155303021. The next prime is 155303081. The reversal of 155303040 is 40303551.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 155302998 and 155303016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89380 + ... + 91100.

It is an arithmetic number, because the mean of its divisors is an integer number (3951990).

Almost surely, 2155303040 is an apocalyptic number.

155303040 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 155303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252927360).

155303040 is an abundant number, since it is smaller than the sum of its proper divisors (350551680).

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

155303040 is a wasteful number, since it uses less digits than its factorization.

155303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 155303040 is about 12462.0640345009. The cubic root of 155303040 is about 537.5183797573.

Adding to 155303040 its reverse (40303551), we get a palindrome (195606591).

The spelling of 155303040 in words is "one hundred fifty-five million, three hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 282 320 376 384 470 480 564 640 705 752 940 960 1128 1410 1504 1721 1880 1920 2256 2820 3008 3442 3760 4512 5163 5640 6016 6884 7520 8605 9024 10326 11280 13768 15040 17210 18048 20652 22560 25815 27536 30080 34420 41304 45120 51630 55072 68840 80887 82608 90240 103260 110144 137680 161774 165216 206520 220288 242661 275360 323548 330432 404435 413040 485322 550720 647096 660864 808870 826080 970644 1101440 1213305 1294192 1617740 1652160 1941288 2426610 2588384 3235480 3304320 3882576 4853220 5176768 6470960 7765152 9706440 10353536 12941920 15530304 19412880 25883840 31060608 38825760 51767680 77651520 155303040