Search a number
-
+
5212480 = 265713179
BaseRepresentation
bin10011111000100101000000
3100210211011211
4103320211000
52313244410
6303415504
762206510
oct23704500
910724154
105212480
112a40239
1218b4594
131106710
14999840
156ce68a
hex4f8940

5212480 has 112 divisors (see below), whose sum is σ = 15361920. Its totient is φ = 1640448.

The previous prime is 5212477. The next prime is 5212507. The reversal of 5212480 is 842125.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nialpdrome in base 14.

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, 29031 + ... + 29209.

It is an arithmetic number, because the mean of its divisors is an integer number (137160).

Almost surely, 25212480 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 5212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680960).

5212480 is an abundant number, since it is smaller than the sum of its proper divisors (10149440).

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

5212480 is a wasteful number, since it uses less digits than its factorization.

5212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 5212480 is about 2283.0856313332. The cubic root of 5212480 is about 173.3863085940.

The spelling of 5212480 in words is "five million, two hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 179 182 208 224 260 280 320 358 364 416 448 455 520 560 716 728 832 895 910 1040 1120 1253 1432 1456 1790 1820 2080 2240 2327 2506 2864 2912 3580 3640 4160 4654 5012 5728 5824 6265 7160 7280 9308 10024 11456 11635 12530 14320 14560 16289 18616 20048 23270 25060 28640 29120 32578 37232 40096 46540 50120 57280 65156 74464 80192 81445 93080 100240 130312 148928 162890 186160 200480 260624 325780 372320 400960 521248 651560 744640 1042496 1303120 2606240 5212480