Search a number
-
+
155533440 = 2735591373
BaseRepresentation
bin10010100010101…
…00000010000000
3101211122220202210
421101110002000
5304304032230
623233342120
73566004156
oct1121240200
9354586683
10155533440
117a881637
1244107940
13262b872a
14169293d6
15d9c3eb0
hex9454080

155533440 has 128 divisors (see below), whose sum is σ = 504532800. Its totient is φ = 40742912.

The previous prime is 155533439. The next prime is 155533453. The reversal of 155533440 is 44335551.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 155533398 and 155533407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112594 + ... + 113966.

Almost surely, 2155533440 is an apocalyptic number.

155533440 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 155533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252266400).

155533440 is an abundant number, since it is smaller than the sum of its proper divisors (348999360).

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

155533440 is a wasteful number, since it uses less digits than its factorization.

155533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 155533440 is about 12471.3046631056. The cubic root of 155533440 is about 537.7840604163.

Adding to 155533440 its reverse (44335551), we get a palindrome (199868991).

The spelling of 155533440 in words is "one hundred fifty-five million, five hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 128 160 177 192 236 240 295 320 354 384 472 480 590 640 708 885 944 960 1180 1373 1416 1770 1888 1920 2360 2746 2832 3540 3776 4119 4720 5492 5664 6865 7080 7552 8238 9440 10984 11328 13730 14160 16476 18880 20595 21968 22656 27460 28320 32952 37760 41190 43936 54920 56640 65904 81007 82380 87872 109840 113280 131808 162014 164760 175744 219680 243021 263616 324028 329520 405035 439360 486042 527232 648056 659040 810070 878720 972084 1215105 1296112 1318080 1620140 1944168 2430210 2592224 2636160 3240280 3888336 4860420 5184448 6480560 7776672 9720840 10368896 12961120 15553344 19441680 25922240 31106688 38883360 51844480 77766720 155533440