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5144640 = 263523233
BaseRepresentation
bin10011101000000001000000
3100200101010020
4103220001000
52304112030
6302133440
761504644
oct23500100
910611106
105144640
1129a4276
121881280
1310b1887
1497cc24
156b9510
hex4e8040

5144640 has 112 divisors (see below), whose sum is σ = 17117568. Its totient is φ = 1306624.

The previous prime is 5144621. The next prime is 5144647. The reversal of 5144640 is 464415.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5144640.

It is not an unprimeable number, because it can be changed into a prime (5144647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21964 + ... + 22196.

Almost surely, 25144640 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 5144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8558784).

5144640 is an abundant number, since it is smaller than the sum of its proper divisors (11972928).

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

5144640 is a wasteful number, since it uses less digits than its factorization.

5144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5144640 is about 2268.1798870460. The cubic root of 5144640 is about 172.6308186405.

The spelling of 5144640 in words is "five million, one hundred forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 233 240 276 320 345 368 460 466 480 552 690 699 736 920 932 960 1104 1165 1380 1398 1472 1840 1864 2208 2330 2760 2796 3495 3680 3728 4416 4660 5359 5520 5592 6990 7360 7456 9320 10718 11040 11184 13980 14912 16077 18640 21436 22080 22368 26795 27960 32154 37280 42872 44736 53590 55920 64308 74560 80385 85744 107180 111840 128616 160770 171488 214360 223680 257232 321540 342976 428720 514464 643080 857440 1028928 1286160 1714880 2572320 5144640