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5141760 = 283513103
BaseRepresentation
bin10011100111010100000000
3100200020011120
4103213110000
52304014020
6302112240
761463361
oct23472400
910606146
105141760
1129a2098
12187b680
1310b0480
1497bb68
156b8740
hex4e7500

5141760 has 144 divisors (see below), whose sum is σ = 17856384. Its totient is φ = 1253376.

The previous prime is 5141743. The next prime is 5141771. The reversal of 5141760 is 671415.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5141760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49869 + ... + 49971.

Almost surely, 25141760 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 5141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928192).

5141760 is an abundant number, since it is smaller than the sum of its proper divisors (12714624).

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

5141760 is a wasteful number, since it uses less digits than its factorization.

5141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 5141760 is about 2267.5449278901. The cubic root of 5141760 is about 172.5985993754.

The spelling of 5141760 in words is "five million, one hundred forty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 103 104 120 128 130 156 160 192 195 206 208 240 256 260 309 312 320 384 390 412 416 480 515 520 618 624 640 768 780 824 832 960 1030 1040 1236 1248 1280 1339 1545 1560 1648 1664 1920 2060 2080 2472 2496 2678 3090 3120 3296 3328 3840 4017 4120 4160 4944 4992 5356 6180 6240 6592 6695 8034 8240 8320 9888 9984 10712 12360 12480 13184 13390 16068 16480 16640 19776 20085 21424 24720 24960 26368 26780 32136 32960 39552 40170 42848 49440 49920 53560 64272 65920 79104 80340 85696 98880 107120 128544 131840 160680 171392 197760 214240 257088 321360 342784 395520 428480 514176 642720 856960 1028352 1285440 1713920 2570880 5141760