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151243120 = 24572967139
BaseRepresentation
bin10010000001111…
…00100101110000
3101112120221120001
421000330211300
5302204234440
623001355344
73514355020
oct1100744560
9345527501
10151243120
1178411216
1242798b54
1325445992
141612da80
15d427b9a
hex903c970

151243120 has 160 divisors (see below), whose sum is σ = 424972800. Its totient is φ = 48964608.

The previous prime is 151243093. The next prime is 151243123. The reversal of 151243120 is 21342151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151243123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1088011 + ... + 1088149.

It is an arithmetic number, because the mean of its divisors is an integer number (2656080).

Almost surely, 2151243120 is an apocalyptic number.

151243120 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 151243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212486400).

151243120 is an abundant number, since it is smaller than the sum of its proper divisors (273729680).

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

151243120 is a wasteful number, since it uses less digits than its factorization.

151243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 151243120 is about 12298.0941612918. The cubic root of 151243120 is about 532.7930396455.

Adding to 151243120 its reverse (21342151), we get a palindrome (172585271).

The spelling of 151243120 in words is "one hundred fifty-one million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 67 70 80 112 116 134 139 140 145 203 232 268 278 280 290 335 406 464 469 536 556 560 580 670 695 812 938 973 1015 1072 1112 1160 1340 1390 1624 1876 1943 1946 2030 2224 2320 2345 2680 2780 3248 3752 3886 3892 4031 4060 4690 4865 5360 5560 7504 7772 7784 8062 8120 9313 9380 9715 9730 11120 13601 15544 15568 16124 16240 18626 18760 19430 19460 20155 27202 28217 31088 32248 37252 37520 38860 38920 40310 46565 54404 56434 64496 65191 68005 74504 77720 77840 80620 93130 108808 112868 130382 136010 141085 149008 155440 161240 186260 217616 225736 260764 270077 272020 282170 322480 325955 372520 451472 521528 540154 544040 564340 651910 745040 1043056 1080308 1088080 1128680 1303820 1350385 1890539 2160616 2257360 2607640 2700770 3781078 4321232 5215280 5401540 7562156 9452695 10803080 15124312 18905390 21606160 30248624 37810780 75621560 151243120