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53893060 = 225131789137
BaseRepresentation
bin1100110110010…
…1011111000100
310202102001101021
43031211133010
5102244034220
65203040524
71223040424
oct315453704
9122361337
1053893060
112846a721
1216070144
13b21c3b0
14722c484
154ae84aa
hex33657c4

53893060 has 96 divisors (see below), whose sum is σ = 131453280. Its totient is φ = 18382848.

The previous prime is 53893051. The next prime is 53893069. The reversal of 53893060 is 6039835.

53893060 = T155 + T156 + ... + T688.

It is an interprime number because it is at equal distance from previous prime (53893051) and next prime (53893069).

It can be written as a sum of positive squares in 16 ways, for example, as 18870336 + 35022724 = 4344^2 + 5918^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (53893069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393312 + ... + 393448.

It is an arithmetic number, because the mean of its divisors is an integer number (1369305).

Almost surely, 253893060 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 53893060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65726640).

53893060 is an abundant number, since it is smaller than the sum of its proper divisors (77560220).

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

53893060 is a wasteful number, since it uses less digits than its factorization.

53893060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 53893060 is about 7341.1892769496. The cubic root of 53893060 is about 377.7266390473.

53893060 divided by its sum of digits (34) gives a triangular number (1585090 = T1780).

The spelling of 53893060 in words is "fifty-three million, eight hundred ninety-three thousand, sixty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 89 130 137 170 178 221 260 274 340 356 442 445 548 685 884 890 1105 1157 1370 1513 1780 1781 2210 2314 2329 2740 3026 3562 4420 4628 4658 5785 6052 7124 7565 8905 9316 11570 11645 12193 15130 17810 19669 23140 23290 24386 30260 30277 35620 39338 46580 48772 60554 60965 78676 98345 121108 121930 151385 158509 196690 207281 243860 302770 317018 393380 414562 605540 634036 792545 829124 1036405 1585090 2072810 2694653 3170180 4145620 5389306 10778612 13473265 26946530 53893060