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553143120 = 24356137783
BaseRepresentation
bin100000111110000…
…100101101010000
31102112211120201020
4200332010231100
52113101034440
6130515435440
716464432105
oct4076045520
91375746636
10553143120
11264264682
121352b5b80
138a7a102a
145366aaac
15338643d0
hex20f84b50

553143120 has 80 divisors (see below), whose sum is σ = 1742900352. Its totient is φ = 145082880.

The previous prime is 553143109. The next prime is 553143121. The reversal of 553143120 is 21341355.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5531431202 = 611934622406668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553143121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4252 + ... + 33531.

Almost surely, 2553143120 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 553143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871450176).

553143120 is an abundant number, since it is smaller than the sum of its proper divisors (1189757232).

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

553143120 is a wasteful number, since it uses less digits than its factorization.

553143120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37860 (or 37854 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 553143120 is about 23518.9948764823. The cubic root of 553143120 is about 820.8790493805.

Adding to 553143120 its reverse (21341355), we get a palindrome (574484475).

The spelling of 553143120 in words is "five hundred fifty-three million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 7320 14640 37783 75566 113349 151132 188915 226698 302264 377830 453396 566745 604528 755660 906792 1133490 1511320 1813584 2266980 2304763 3022640 4533960 4609526 6914289 9067920 9219052 11523815 13828578 18438104 23047630 27657156 34571445 36876208 46095260 55314312 69142890 92190520 110628624 138285780 184381040 276571560 553143120