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155031120 = 243251971093
BaseRepresentation
bin10010011110110…
…01011001010000
3101210201101201100
421033121121100
5304141443440
623214504400
73561512526
oct1117313120
9353641640
10155031120
117a5691a2
1243b05100
1326170bba
1416838316
15d925230
hex93d9650

155031120 has 120 divisors (see below), whose sum is σ = 523767816. Its totient is φ = 41094144.

The previous prime is 155031119. The next prime is 155031137. The reversal of 155031120 is 21130551.

155031120 is a `hidden beast` number, since 1 + 550 + 3 + 112 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 106254864 + 48776256 = 10308^2 + 6984^2 .

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 155031093 and 155031102.

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 23 ways as a sum of consecutive naturals, for example, 141294 + ... + 142386.

Almost surely, 2155031120 is an apocalyptic number.

155031120 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 155031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261883908).

155031120 is an abundant number, since it is smaller than the sum of its proper divisors (368736696).

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

155031120 is a wasteful number, since it uses less digits than its factorization.

155031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 155031120 is about 12451.1493445384. The cubic root of 155031120 is about 537.2044829487.

Adding to 155031120 its reverse (21130551), we get a palindrome (176161671).

The spelling of 155031120 in words is "one hundred fifty-five million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 197 240 360 394 591 720 788 985 1093 1182 1576 1773 1970 2186 2364 2955 3152 3279 3546 3940 4372 4728 5465 5910 6558 7092 7880 8744 8865 9456 9837 10930 11820 13116 14184 15760 16395 17488 17730 19674 21860 23640 26232 28368 32790 35460 39348 43720 47280 49185 52464 65580 70920 78696 87440 98370 131160 141840 157392 196740 215321 262320 393480 430642 645963 786960 861284 1076605 1291926 1722568 1937889 2153210 2583852 3229815 3445136 3875778 4306420 5167704 6459630 7751556 8612840 9689445 10335408 12919260 15503112 17225680 19378890 25838520 31006224 38757780 51677040 77515560 155031120