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554124132 = 223319312281
BaseRepresentation
bin100001000001110…
…100001101100100
31102121200102102000
4201001310031210
52113323433012
6130552445300
716505656152
oct4101641544
91377612360
10554124132
11264874731
121356a9830
138aa55703
14538443d2
15339a9ddc
hex21074364

554124132 has 144 divisors (see below), whose sum is σ = 1568145600. Its totient is φ = 168739200.

The previous prime is 554124127. The next prime is 554124139. The reversal of 554124132 is 231421455.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 554124096 and 554124105.

It is not an unprimeable number, because it can be changed into a prime (554124139) 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 47 ways as a sum of consecutive naturals, for example, 1971832 + ... + 1972112.

It is an arithmetic number, because the mean of its divisors is an integer number (10889900).

Almost surely, 2554124132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 554124132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784072800).

554124132 is an abundant number, since it is smaller than the sum of its proper divisors (1014021468).

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

554124132 is a wasteful number, since it uses less digits than its factorization.

554124132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 336 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 554124132 is about 23539.8413758462. The cubic root of 554124132 is about 821.3640453784.

Adding to 554124132 its reverse (231421455), we get a palindrome (785545587).

The spelling of 554124132 in words is "five hundred fifty-four million, one hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 93 108 114 124 171 186 228 279 281 342 372 513 558 562 589 684 837 843 961 1026 1116 1124 1178 1674 1686 1767 1922 2052 2356 2529 2883 3348 3372 3534 3844 5058 5301 5339 5766 7068 7587 8649 8711 10116 10602 10678 11532 15174 15903 16017 17298 17422 18259 21204 21356 25947 26133 30348 31806 32034 34596 34844 36518 48051 51894 52266 54777 63612 64068 73036 78399 96102 103788 104532 109554 144153 156798 164331 165509 192204 219108 235197 270041 288306 313596 328662 331018 470394 492993 496527 540082 576612 657324 662036 810123 940788 985986 993054 1080164 1489581 1620246 1971972 1986108 2430369 2979162 3240492 4468743 4860738 5130779 5958324 7291107 8937486 9721476 10261558 14582214 15392337 17874972 20523116 29164428 30784674 46177011 61569348 92354022 138531033 184708044 277062066 554124132