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55154000 = 24531123109
BaseRepresentation
bin1101001001100…
…1010101010000
310211210010001202
43102121111100
5103104412000
65250050332
71236541556
oct322312520
9124703052
1055154000
1129151020
12165799a8
13b571305
147479bd6
154c96dd5
hex3499550

55154000 has 160 divisors (see below), whose sum is σ = 153204480. Its totient is φ = 19008000.

The previous prime is 55153981. The next prime is 55154003. The reversal of 55154000 is 45155.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55154003) 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, 505946 + ... + 506054.

It is an arithmetic number, because the mean of its divisors is an integer number (957528).

Almost surely, 255154000 is an apocalyptic number.

55154000 is a gapful number since it is divisible by the number (50) 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 55154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76602240).

55154000 is an abundant number, since it is smaller than the sum of its proper divisors (98050480).

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

55154000 is a wasteful number, since it uses less digits than its factorization.

55154000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 55154000 is about 7426.5739072603. The cubic root of 55154000 is about 380.6498575408.

Adding to 55154000 its reverse (45155), we get a palindrome (55199155).

The spelling of 55154000 in words is "fifty-five million, one hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 40 44 46 50 55 80 88 92 100 109 110 115 125 176 184 200 218 220 230 250 253 275 368 400 436 440 460 500 506 545 550 575 872 880 920 1000 1012 1090 1100 1150 1199 1265 1375 1744 1840 2000 2024 2180 2200 2300 2398 2507 2530 2725 2750 2875 4048 4360 4400 4600 4796 5014 5060 5450 5500 5750 5995 6325 8720 9200 9592 10028 10120 10900 11000 11500 11990 12535 12650 13625 19184 20056 20240 21800 22000 23000 23980 25070 25300 27250 27577 29975 31625 40112 43600 46000 47960 50140 50600 54500 55154 59950 62675 63250 95920 100280 101200 109000 110308 119900 125350 126500 137885 149875 200560 218000 220616 239800 250700 253000 275770 299750 313375 441232 479600 501400 506000 551540 599500 626750 689425 1002800 1103080 1199000 1253500 1378850 2206160 2398000 2507000 2757700 3447125 5014000 5515400 6894250 11030800 13788500 27577000 55154000