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155032080 = 24357213183
BaseRepresentation
bin10010011110110…
…01101000010000
3101210201110000220
421033121220100
5304142011310
623214513040
73561515400
oct1117315020
9353643026
10155032080
117a569995
1243b05780
1326171478
1416838800
15d925670
hex93d9a10

155032080 has 120 divisors (see below), whose sum is σ = 559107072. Its totient is φ = 35433216.

The previous prime is 155032043. The next prime is 155032091. The reversal of 155032080 is 80230551.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 155032080.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5169 + ... + 18351.

Almost surely, 2155032080 is an apocalyptic number.

155032080 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 155032080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279553536).

155032080 is an abundant number, since it is smaller than the sum of its proper divisors (404074992).

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

155032080 is a wasteful number, since it uses less digits than its factorization.

155032080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13213 (or 13200 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 155032080 is about 12451.1878951368. The cubic root of 155032080 is about 537.2055917911.

The spelling of 155032080 in words is "one hundred fifty-five million, thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 13183 26366 39549 52732 65915 79098 92281 105464 131830 158196 184562 197745 210928 263660 276843 316392 369124 395490 461405 527320 553686 632784 645967 738248 790980 922810 1054640 1107372 1291934 1384215 1476496 1581960 1845620 1937901 2214744 2583868 2768430 3163920 3229835 3691240 3875802 4429488 5167736 5536860 6459670 7382480 7751604 9689505 10335472 11073720 12919340 15503208 19379010 22147440 25838680 31006416 38758020 51677360 77516040 155032080