Search a number
-
+
5367042300 = 2235261313937
BaseRepresentation
bin1001111111110011…
…01001000011111100
3111212001000222221110
410333321221003330
541442430323200
62244322202020
7250000051434
oct47771510374
914761028843
105367042300
112304612354
1210594b3310
13676c00b99
1438cb272c4
152162a9b50
hex13fe690fc

5367042300 has 144 divisors (see below), whose sum is σ = 15850534112. Its totient is φ = 1401753600.

The previous prime is 5367042293. The next prime is 5367042319. The reversal of 5367042300 is 32407635.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5727432 + ... + 5728368.

Almost surely, 25367042300 is an apocalyptic number.

5367042300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5367042300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7925267056).

5367042300 is an abundant number, since it is smaller than the sum of its proper divisors (10483491812).

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

5367042300 is a wasteful number, since it uses less digits than its factorization.

5367042300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 5367042300 is about 73260.1003275316. The cubic root of 5367042300 is about 1750.8341383988.

Adding to 5367042300 its reverse (32407635), we get a palindrome (5399449935).

The spelling of 5367042300 in words is "five billion, three hundred sixty-seven million, forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 313 366 610 626 732 915 937 939 1220 1252 1525 1565 1830 1874 1878 2811 3050 3130 3660 3748 3756 4575 4685 4695 5622 6100 6260 7825 9150 9370 9390 11244 14055 15650 18300 18740 18780 19093 23425 23475 28110 31300 38186 46850 46950 56220 57157 57279 70275 76372 93700 93900 95465 114314 114558 140550 171471 190930 228628 229116 281100 285785 286395 293281 342942 381860 477325 571570 572790 586562 685884 857355 879843 954650 1143140 1145580 1173124 1428925 1431975 1466405 1714710 1759686 1909300 2857850 2863950 2932810 3429420 3519372 4286775 4399215 5715700 5727900 5865620 7332025 8573550 8798430 14664050 17147100 17596860 17890141 21996075 29328100 35780282 43992150 53670423 71560564 87984300 89450705 107340846 178901410 214681692 268352115 357802820 447253525 536704230 894507050 1073408460 1341760575 1789014100 2683521150 5367042300