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553513140 = 2232529107991
BaseRepresentation
bin100000111111011…
…111000010110100
31102120112101021200
4200333133002310
52113144410030
6130531412500
716500532635
oct4077370264
91376471250
10553513140
11264497684
12135454130
138a8a058b
145372588c
15338d8d60
hex20fdf0b4

553513140 has 144 divisors (see below), whose sum is σ = 1754887680. Its totient is φ = 141039360.

The previous prime is 553513133. The next prime is 553513141. The reversal of 553513140 is 41315355.

553513140 is a `hidden beast` number, since 5 + 5 + 3 + 513 + 140 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553513141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 558045 + ... + 559035.

It is an arithmetic number, because the mean of its divisors is an integer number (12186720).

Almost surely, 2553513140 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 553513140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877443840).

553513140 is an abundant number, since it is smaller than the sum of its proper divisors (1201374540).

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

553513140 is a wasteful number, since it uses less digits than its factorization.

553513140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 553513140 is about 23526.8599689801. The cubic root of 553513140 is about 821.0620484101.

Adding to 553513140 its reverse (41315355), we get a palindrome (594828495).

The spelling of 553513140 in words is "five hundred fifty-three million, five hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 107 116 145 174 180 214 261 290 321 348 428 435 522 535 580 642 870 963 991 1044 1070 1284 1305 1605 1740 1926 1982 2140 2610 2973 3103 3210 3852 3964 4815 4955 5220 5946 6206 6420 8919 9309 9630 9910 11892 12412 14865 15515 17838 18618 19260 19820 27927 28739 29730 31030 35676 37236 44595 46545 55854 57478 59460 62060 86217 89190 93090 106037 111708 114956 139635 143695 172434 178380 186180 212074 258651 279270 287390 318111 344868 424148 431085 517302 530185 558540 574780 636222 862170 954333 1034604 1060370 1272444 1293255 1590555 1724340 1908666 2120740 2586510 3075073 3181110 3817332 4771665 5173020 6150146 6362220 9225219 9543330 12300292 15375365 18450438 19086660 27675657 30750730 36900876 46126095 55351314 61501460 92252190 110702628 138378285 184504380 276756570 553513140