Search a number
-
+
4563540 = 22365313
BaseRepresentation
bin10001011010001001010100
322120212000000
4101122021110
52132013130
6241451300
753534532
oct21321124
98525000
104563540
112637723
121640b30
13c3a227
1486b152
15602260
hex45a254

4563540 has 84 divisors (see below), whose sum is σ = 14414484. Its totient is φ = 1213056.

The previous prime is 4563529. The next prime is 4563551. The reversal of 4563540 is 453654.

It is an interprime number because it is at equal distance from previous prime (4563529) and next prime (4563551).

It can be written as a sum of positive squares in 2 ways, for example, as 571536 + 3992004 = 756^2 + 1998^2 .

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 27 ways as a sum of consecutive naturals, for example, 14424 + ... + 14736.

It is an arithmetic number, because the mean of its divisors is an integer number (171601).

Almost surely, 24563540 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 4563540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207242).

4563540 is an abundant number, since it is smaller than the sum of its proper divisors (9850944).

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

4563540 is a wasteful number, since it uses less digits than its factorization.

4563540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 4563540 is about 2136.2443680441. The cubic root of 4563540 is about 165.8697870811.

The spelling of 4563540 in words is "four million, five hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 313 324 405 486 540 626 729 810 939 972 1215 1252 1458 1565 1620 1878 2430 2817 2916 3130 3645 3756 4695 4860 5634 6260 7290 8451 9390 11268 14085 14580 16902 18780 25353 28170 33804 42255 50706 56340 76059 84510 101412 126765 152118 169020 228177 253530 304236 380295 456354 507060 760590 912708 1140885 1521180 2281770 4563540