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155431920 = 24357213217
BaseRepresentation
bin10010100001110…
…11001111110000
3101211110202111210
421100323033300
5304242310140
623231240120
73565102200
oct1120731760
9354422453
10155431920
117a812336
1244079040
1326281467
1416900400
15d9a3d80
hex943b3f0

155431920 has 120 divisors (see below), whose sum is σ = 560548944. Its totient is φ = 35524608.

The previous prime is 155431897. The next prime is 155431921. The reversal of 155431920 is 29134551.

155431920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155431921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5152 + ... + 18368.

Almost surely, 2155431920 is an apocalyptic number.

155431920 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 155431920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280274472).

155431920 is an abundant number, since it is smaller than the sum of its proper divisors (405117024).

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

155431920 is a wasteful number, since it uses less digits than its factorization.

155431920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13247 (or 13234 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 155431920 is about 12467.2338551902. The cubic root of 155431920 is about 537.6670272331.

The spelling of 155431920 in words is "one hundred fifty-five million, four hundred thirty-one thousand, nine hundred twenty".

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 13217 26434 39651 52868 66085 79302 92519 105736 132170 158604 185038 198255 211472 264340 277557 317208 370076 396510 462595 528680 555114 634416 647633 740152 793020 925190 1057360 1110228 1295266 1387785 1480304 1586040 1850380 1942899 2220456 2590532 2775570 3172080 3238165 3700760 3885798 4440912 5181064 5551140 6476330 7401520 7771596 9714495 10362128 11102280 12952660 15543192 19428990 22204560 25905320 31086384 38857980 51810640 77715960 155431920