Search a number
-
+
5974013280 = 253515779273
BaseRepresentation
bin1011001000001010…
…00011010101100000
3120102100011022121010
411210011003111200
544213321411110
62424443500520
7301020163224
oct54405032540
916370138533
105974013280
1125961a1664
1211a8827740
1374289a701
144095a6784
1524e703020
hex164143560

5974013280 has 96 divisors (see below), whose sum is σ = 18938241504. Its totient is φ = 1582903296.

The previous prime is 5974013257. The next prime is 5974013351. The reversal of 5974013280 is 823104795.

It is a tau number, because it is divible by the number of its divisors (96).

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, 35724 + ... + 114996.

It is an arithmetic number, because the mean of its divisors is an integer number (197273349).

Almost surely, 25974013280 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 5974013280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9469120752).

5974013280 is an abundant number, since it is smaller than the sum of its proper divisors (12964228224).

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

5974013280 is a wasteful number, since it uses less digits than its factorization.

5974013280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79448 (or 79440 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 5974013280 is about 77291.7413440789. The cubic root of 5974013280 is about 1814.4934071742.

The spelling of 5974013280 in words is "five billion, nine hundred seventy-four million, thirteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 157 160 240 314 471 480 628 785 942 1256 1570 1884 2355 2512 3140 3768 4710 5024 6280 7536 9420 12560 15072 18840 25120 37680 75360 79273 158546 237819 317092 396365 475638 634184 792730 951276 1189095 1268368 1585460 1902552 2378190 2536736 3170920 3805104 4756380 6341840 7610208 9512760 12445861 12683680 19025520 24891722 37337583 38051040 49783444 62229305 74675166 99566888 124458610 149350332 186687915 199133776 248917220 298700664 373375830 398267552 497834440 597401328 746751660 995668880 1194802656 1493503320 1991337760 2987006640 5974013280