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5780430 = 233579271
BaseRepresentation
bin10110000011001111001110
3101212200021000
4112003033032
52434433210
6323521130
7100063365
oct26031716
911780230
105780430
113298a17
121b291a6
131275096
14aa67dc
15792ac0
hex5833ce

5780430 has 64 divisors (see below), whose sum is σ = 15667200. Its totient is φ = 1516320.

The previous prime is 5780419. The next prime is 5780443. The reversal of 5780430 is 340875.

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

It is a junction number, because it is equal to n+sod(n) for n = 5780394 and 5780403.

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, 21195 + ... + 21465.

It is an arithmetic number, because the mean of its divisors is an integer number (244800).

Almost surely, 25780430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5780430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7833600).

5780430 is an abundant number, since it is smaller than the sum of its proper divisors (9886770).

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

5780430 is a wasteful number, since it uses less digits than its factorization.

5780430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5780430 is about 2404.2524825816. The cubic root of 5780430 is about 179.4678728876.

The spelling of 5780430 in words is "five million, seven hundred eighty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 90 135 158 237 270 271 395 474 542 711 790 813 1185 1355 1422 1626 2133 2370 2439 2710 3555 4065 4266 4878 7110 7317 8130 10665 12195 14634 21330 21409 24390 36585 42818 64227 73170 107045 128454 192681 214090 321135 385362 578043 642270 963405 1156086 1926810 2890215 5780430