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5137560 = 233356771
BaseRepresentation
bin10011100110010010011000
3100200000102000
4103212102120
52303400220
6302041000
761445211
oct23462230
910600360
105137560
112999a1a
121879160
1310ab59c
1497a408
156b7390
hex4e6498

5137560 has 128 divisors (see below), whose sum is σ = 17625600. Its totient is φ = 1330560.

The previous prime is 5137547. The next prime is 5137651. The reversal of 5137560 is 657315.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72325 + ... + 72395.

It is an arithmetic number, because the mean of its divisors is an integer number (137700).

Almost surely, 25137560 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 5137560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812800).

5137560 is an abundant number, since it is smaller than the sum of its proper divisors (12488040).

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

5137560 is a wasteful number, since it uses less digits than its factorization.

5137560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 5137560 is about 2266.6186269419. The cubic root of 5137560 is about 172.5515913738.

Subtracting from 5137560 its product of nonzero digits (3150), we obtain a triangular number (5134410 = T3204).

The spelling of 5137560 in words is "five million, one hundred thirty-seven thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 67 71 72 90 108 120 134 135 142 180 201 213 216 268 270 284 335 355 360 402 426 536 540 568 603 639 670 710 804 852 1005 1065 1080 1206 1278 1340 1420 1608 1704 1809 1917 2010 2130 2412 2556 2680 2840 3015 3195 3618 3834 4020 4260 4757 4824 5112 6030 6390 7236 7668 8040 8520 9045 9514 9585 12060 12780 14271 14472 15336 18090 19028 19170 23785 24120 25560 28542 36180 38056 38340 42813 47570 57084 71355 72360 76680 85626 95140 114168 128439 142710 171252 190280 214065 256878 285420 342504 428130 513756 570840 642195 856260 1027512 1284390 1712520 2568780 5137560