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5314157200 = 2452112941647
BaseRepresentation
bin1001111001011111…
…11001101010010000
3111201100112011020001
410330233321222100
541340411012300
62235152455344
7245455406452
oct47457715220
914640464201
105314157200
112287780a60
12104384a554
13668c75521
14385abc2d2
1521181016a
hex13cbf9a90

5314157200 has 120 divisors (see below), whose sum is σ = 14408542080. Its totient is φ = 1865740800.

The previous prime is 5314157179. The next prime is 5314157209. The reversal of 5314157200 is 27514135.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5314157209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106777 + ... + 148423.

It is an arithmetic number, because the mean of its divisors is an integer number (120071184).

Almost surely, 25314157200 is an apocalyptic number.

5314157200 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 5314157200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7204271040).

5314157200 is an abundant number, since it is smaller than the sum of its proper divisors (9094384880).

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

5314157200 is a wasteful number, since it uses less digits than its factorization.

5314157200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41705 (or 41694 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 5314157200 is about 72898.2660973497. The cubic root of 5314157200 is about 1745.0644278530.

The spelling of 5314157200 in words is "five billion, three hundred fourteen million, one hundred fifty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 29 40 44 50 55 58 80 88 100 110 116 145 176 200 220 232 275 290 319 400 440 464 550 580 638 725 880 1100 1160 1276 1450 1595 2200 2320 2552 2900 3190 4400 5104 5800 6380 7975 11600 12760 15950 25520 31900 41647 63800 83294 127600 166588 208235 333176 416470 458117 666352 832940 916234 1041175 1207763 1665880 1832468 2082350 2290585 2415526 3331760 3664936 4164700 4581170 4831052 6038815 7329872 8329400 9162340 9662104 11452925 12077630 13285393 16658800 18324680 19324208 22905850 24155260 26570786 30194075 36649360 45811700 48310520 53141572 60388150 66426965 91623400 96621040 106283144 120776300 132853930 183246800 212566288 241552600 265707860 332134825 483105200 531415720 664269650 1062831440 1328539300 2657078600 5314157200