Search a number
-
+
155342440 = 235114179109
BaseRepresentation
bin10010100001001…
…01011001101000
3101211022012202201
421100211121220
5304231424230
623225305544
73564250261
oct1120453150
9354265681
10155342440
117a761090
12440352b4
132624c806
14168b9968
15d9875ca
hex9425668

155342440 has 128 divisors (see below), whose sum is σ = 399168000. Its totient is φ = 53913600.

The previous prime is 155342393. The next prime is 155342441. The reversal of 155342440 is 44243551.

It is a junction number, because it is equal to n+sod(n) for n = 155342399 and 155342408.

It is not an unprimeable number, because it can be changed into a prime (155342441) 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, 1425106 + ... + 1425214.

It is an arithmetic number, because the mean of its divisors is an integer number (3118500).

Almost surely, 2155342440 is an apocalyptic number.

155342440 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 155342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199584000).

155342440 is an abundant number, since it is smaller than the sum of its proper divisors (243825560).

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

155342440 is a wasteful number, since it uses less digits than its factorization.

155342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 155342440 is about 12463.6447317789. The cubic root of 155342440 is about 537.5638316116.

Adding to 155342440 its reverse (44243551), we get a palindrome (199585991).

The spelling of 155342440 in words is "one hundred fifty-five million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 79 82 88 109 110 158 164 205 218 220 316 328 395 410 436 440 451 545 632 790 820 869 872 902 1090 1199 1580 1640 1738 1804 2180 2255 2398 3160 3239 3476 3608 4345 4360 4469 4510 4796 5995 6478 6952 8611 8690 8938 9020 9592 11990 12956 16195 17222 17380 17876 18040 22345 23980 25912 32390 34444 34760 35629 35752 43055 44690 47960 49159 64780 68888 71258 86110 89380 94721 98318 129560 142516 172220 178145 178760 189442 196636 245795 285032 344440 353051 356290 378884 393272 473605 491590 706102 712580 757768 947210 983180 1412204 1425160 1765255 1894420 1966360 2824408 3530510 3788840 3883561 7061020 7767122 14122040 15534244 19417805 31068488 38835610 77671220 155342440