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5214353120 = 255292414663
BaseRepresentation
bin1001101101100110…
…01011011011100000
3111110101201120202122
410312303023123200
541134333244440
62221225403412
7243134161454
oct46663133340
914411646678
105214353120
112236403749
121016339568
1365139cc62
1437673c664
15207b987b5
hex136ccb6e0

5214353120 has 96 divisors (see below), whose sum is σ = 12799321920. Its totient is φ = 2005032960.

The previous prime is 5214353119. The next prime is 5214353143. The reversal of 5214353120 is 213534125.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5214353120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1115909 + ... + 1120571.

It is an arithmetic number, because the mean of its divisors is an integer number (133326270).

Almost surely, 25214353120 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 5214353120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399660960).

5214353120 is an abundant number, since it is smaller than the sum of its proper divisors (7584968800).

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

5214353120 is a wasteful number, since it uses less digits than its factorization.

5214353120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948 (or 4940 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 5214353120 is about 72210.4779100651. The cubic root of 5214353120 is about 1734.0707506651.

Adding to 5214353120 its reverse (213534125), we get a palindrome (5427887245).

The spelling of 5214353120 in words is "five billion, two hundred fourteen million, three hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 241 290 464 482 580 928 964 1160 1205 1928 2320 2410 3856 4640 4663 4820 6989 7712 9326 9640 13978 18652 19280 23315 27956 34945 37304 38560 46630 55912 69890 74608 93260 111824 135227 139780 149216 186520 223648 270454 279560 373040 540908 559120 676135 746080 1081816 1118240 1123783 1352270 2163632 2247566 2704540 4327264 4495132 5409080 5618915 8990264 10818160 11237830 17980528 21636320 22475660 32589707 35961056 44951320 65179414 89902640 130358828 162948535 179805280 260717656 325897070 521435312 651794140 1042870624 1303588280 2607176560 5214353120