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5304411120 = 243544349891
BaseRepresentation
bin1001111000010101…
…01110001111110000
3111200200012000010010
410330022232033300
541330412123440
62234203534520
7245306515311
oct47412561760
914620160103
105304411120
112282224648
12104052a440
13666c42408
143846a2608
15210a37580
hex13c2ae3f0

5304411120 has 80 divisors (see below), whose sum is σ = 16481123712. Its totient is φ = 1411288320.

The previous prime is 5304411113. The next prime is 5304411143. The reversal of 5304411120 is 211144035.

It is a tau number, because it is divible by the number of its divisors (80).

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, 81375 + ... + 131265.

Almost surely, 25304411120 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 5304411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8240561856).

5304411120 is an abundant number, since it is smaller than the sum of its proper divisors (11176712592).

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

5304411120 is a wasteful number, since it uses less digits than its factorization.

5304411120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50350 (or 50344 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5304411120 is about 72831.3882882923. The cubic root of 5304411120 is about 1743.9969681933.

Adding to 5304411120 its reverse (211144035), we get a palindrome (5515555155).

The spelling of 5304411120 in words is "five billion, three hundred four million, four hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 443 886 1329 1772 2215 2658 3544 4430 5316 6645 7088 8860 10632 13290 17720 21264 26580 35440 49891 53160 99782 106320 149673 199564 249455 299346 399128 498910 598692 748365 798256 997820 1197384 1496730 1995640 2394768 2993460 3991280 5986920 11973840 22101713 44203426 66305139 88406852 110508565 132610278 176813704 221017130 265220556 331525695 353627408 442034260 530441112 663051390 884068520 1060882224 1326102780 1768137040 2652205560 5304411120