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153255720 = 23352947937
BaseRepresentation
bin10010010001001…
…11111100101000
3101200101012022210
421020213330220
5303213140340
623112445120
73540436452
oct1110477450
9350335283
10153255720
1179566322
12433a97a0
132599ba77
14164d52d2
15d6c4180
hex9227f28

153255720 has 128 divisors (see below), whose sum is σ = 486259200. Its totient is φ = 38578176.

The previous prime is 153255709. The next prime is 153255761. The reversal of 153255720 is 27552351.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 163092 + ... + 164028.

It is an arithmetic number, because the mean of its divisors is an integer number (3798900).

Almost surely, 2153255720 is an apocalyptic number.

153255720 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 153255720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243129600).

153255720 is an abundant number, since it is smaller than the sum of its proper divisors (333003480).

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

153255720 is a wasteful number, since it uses less digits than its factorization.

153255720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 153255720 is about 12379.6494296083. The cubic root of 153255720 is about 535.1459350920.

The spelling of 153255720 in words is "one hundred fifty-three million, two hundred fifty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 47 58 60 87 94 116 120 141 145 174 188 232 235 282 290 348 376 435 470 564 580 696 705 870 937 940 1128 1160 1363 1410 1740 1874 1880 2726 2811 2820 3480 3748 4089 4685 5452 5622 5640 6815 7496 8178 9370 10904 11244 13630 14055 16356 18740 20445 22488 27173 27260 28110 32712 37480 40890 44039 54346 54520 56220 81519 81780 88078 108692 112440 132117 135865 163038 163560 176156 217384 220195 264234 271730 326076 352312 407595 440390 528468 543460 652152 660585 815190 880780 1056936 1086920 1277131 1321170 1630380 1761560 2554262 2642340 3260760 3831393 5108524 5284680 6385655 7662786 10217048 12771310 15325572 19156965 25542620 30651144 38313930 51085240 76627860 153255720