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537660144 = 243272233313
BaseRepresentation
bin100000000011000…
…000101011110000
31101110200222001200
4200003000223300
52100120111034
6125203531200
716216015200
oct4003005360
91343628050
10537660144
1125654a02a
12130089b00
138750c8c8
145159a400
1532306a99
hex200c0af0

537660144 has 180 divisors, whose sum is σ = 1827021456. Its totient is φ = 146893824.

The previous prime is 537660073. The next prime is 537660217. The reversal of 537660144 is 441066735.

It is a happy number.

537660144 is a `hidden beast` number, since 5 + 3 + 7 + 6 + 601 + 44 = 666.

It is a super-2 number, since 2×5376601442 = 578156860892201472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 537660099 and 537660108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 160632 + ... + 163944.

Almost surely, 2537660144 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 537660144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913510728).

537660144 is an abundant number, since it is smaller than the sum of its proper divisors (1289361312).

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

537660144 is a wasteful number, since it uses less digits than its factorization.

537660144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 537660144 is about 23187.4997358491. The cubic root of 537660144 is about 813.1474068125.

The spelling of 537660144 in words is "five hundred thirty-seven million, six hundred sixty thousand, one hundred forty-four".