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5310153400 = 235259619727
BaseRepresentation
bin1001111001000001…
…01000001010111000
3111201001222202001011
410330200220022320
541333344402100
62234531003304
7245406362536
oct47440501270
914631882034
105310153400
112285496932
121042439534
136681a3006
14385359156
152112bdbba
hex13c8282b8

5310153400 has 96 divisors (see below), whose sum is σ = 12592944000. Its totient is φ = 2081819520.

The previous prime is 5310153397. The next prime is 5310153413. The reversal of 5310153400 is 43510135.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7303837 + ... + 7304563.

It is an arithmetic number, because the mean of its divisors is an integer number (131176500).

Almost surely, 25310153400 is an apocalyptic number.

5310153400 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 5310153400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6296472000).

5310153400 is an abundant number, since it is smaller than the sum of its proper divisors (7282790600).

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

5310153400 is a wasteful number, since it uses less digits than its factorization.

5310153400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 5310153400 is about 72870.7993643544. The cubic root of 5310153400 is about 1744.6260614217.

Adding to 5310153400 its reverse (43510135), we get a palindrome (5353663535).

The spelling of 5310153400 in words is "five billion, three hundred ten million, one hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 236 295 472 590 619 727 1180 1238 1454 1475 2360 2476 2908 2950 3095 3635 4952 5816 5900 6190 7270 11800 12380 14540 15475 18175 24760 29080 30950 36350 36521 42893 61900 72700 73042 85786 123800 145400 146084 171572 182605 214465 292168 343144 365210 428930 450013 730420 857860 900026 913025 1072325 1460840 1715720 1800052 1826050 2144650 2250065 3600104 3652100 4289300 4500130 7304200 8578600 9000260 11250325 18000520 22500650 26550767 45001300 53101534 90002600 106203068 132753835 212406136 265507670 531015340 663769175 1062030680 1327538350 2655076700 5310153400