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5201460 = 22325113771
BaseRepresentation
bin10011110101111000110100
3100210021001200
4103311320310
52312421320
6303252500
762132415
oct23657064
910707050
105201460
112a32a30
1218aa130
1311016b4
1499580c
156cb290
hex4f5e34

5201460 has 144 divisors (see below), whose sum is σ = 17926272. Its totient is φ = 1209600.

The previous prime is 5201437. The next prime is 5201467. The reversal of 5201460 is 641025.

It is a happy number.

5201460 is a `hidden beast` number, since 5 + 201 + 460 = 666.

It is a super-2 number, since 2×52014602 = 54110372263200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5201467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73225 + ... + 73295.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

Almost surely, 25201460 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 5201460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963136).

5201460 is an abundant number, since it is smaller than the sum of its proper divisors (12724812).

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

5201460 is a wasteful number, since it uses less digits than its factorization.

5201460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5201460 is about 2280.6709539081. The cubic root of 5201460 is about 173.2640337701.

Adding to 5201460 its reverse (641025), we get a palindrome (5842485).

The spelling of 5201460 in words is "five million, two hundred one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 71 74 90 99 110 111 132 142 148 165 180 185 198 213 220 222 284 330 333 355 370 396 407 426 444 495 555 639 660 666 710 740 781 814 852 990 1065 1110 1221 1278 1332 1420 1562 1628 1665 1980 2035 2130 2220 2343 2442 2556 2627 3124 3195 3330 3663 3905 4070 4260 4686 4884 5254 6105 6390 6660 7029 7326 7810 7881 8140 9372 10508 11715 12210 12780 13135 14058 14652 15620 15762 18315 23430 23643 24420 26270 28116 28897 31524 35145 36630 39405 46860 47286 52540 57794 70290 73260 78810 86691 94572 115588 118215 140580 144485 157620 173382 236430 260073 288970 346764 433455 472860 520146 577940 866910 1040292 1300365 1733820 2600730 5201460