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5340103152 = 2432931472633
BaseRepresentation
bin1001111100100101…
…11000000111110000
3111210011100100101020
410332102320013300
541414031300102
62241520535440
7246222061566
oct47622700760
914704310336
105340103152
1122a039259a
121050481580
1367145b167
14389313a36
15213c37bbc
hex13e4b81f0

5340103152 has 160 divisors (see below), whose sum is σ = 15050465280. Its totient is φ = 1627207680.

The previous prime is 5340103099. The next prime is 5340103193. The reversal of 5340103152 is 2513010435.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2026828 + ... + 2029460.

It is an arithmetic number, because the mean of its divisors is an integer number (94065408).

Almost surely, 25340103152 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 5340103152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7525232640).

5340103152 is an abundant number, since it is smaller than the sum of its proper divisors (9710362128).

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

5340103152 is a wasteful number, since it uses less digits than its factorization.

5340103152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5340103152 is about 73076.0094148552. The cubic root of 5340103152 is about 1747.8998645743.

Adding to 5340103152 its reverse (2513010435), we get a palindrome (7853113587).

The spelling of 5340103152 in words is "five billion, three hundred forty million, one hundred three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 47 48 58 62 87 93 94 116 124 141 174 186 188 232 248 282 348 372 376 464 496 564 696 744 752 899 1128 1363 1392 1457 1488 1798 2256 2633 2697 2726 2914 3596 4089 4371 5266 5394 5452 5828 7192 7899 8178 8742 10532 10788 10904 11656 14384 15798 16356 17484 21064 21576 21808 23312 31596 32712 34968 42128 42253 43152 63192 65424 69936 76357 81623 84506 123751 126384 126759 152714 163246 169012 229071 244869 247502 253518 305428 326492 338024 371253 458142 489738 495004 507036 610856 652984 676048 742506 916284 979476 990008 1014072 1221712 1305968 1485012 1832568 1958952 1980016 2028144 2367067 2970024 3588779 3665136 3836281 3917904 4734134 5940048 7101201 7177558 7672562 9468268 10766337 11508843 14202402 14355116 15345124 18936536 21532674 23017686 28404804 28710232 30690248 37873072 43065348 46035372 56809608 57420464 61380496 86130696 92070744 111252149 113619216 172261392 184141488 222504298 333756447 445008596 667512894 890017192 1335025788 1780034384 2670051576 5340103152