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5361480 = 2332553281
BaseRepresentation
bin10100011100111101001000
3101002101120100
4110130331020
52333031410
6310525400
763400065
oct24347510
911071510
105361480
113032183
121966860
131159497
149d7c6c
1570d8c0
hex51cf48

5361480 has 96 divisors (see below), whose sum is σ = 17816760. Its totient is φ = 1397760.

The previous prime is 5361479. The next prime is 5361539. The reversal of 5361480 is 841635.

It can be written as a sum of positive squares in 4 ways, for example, as 5008644 + 352836 = 2238^2 + 594^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18940 + ... + 19220.

Almost surely, 25361480 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 5361480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8908380).

5361480 is an abundant number, since it is smaller than the sum of its proper divisors (12455280).

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

5361480 is a wasteful number, since it uses less digits than its factorization.

5361480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5361480 is about 2315.4869898145. The cubic root of 5361480 is about 175.0229085656.

It can be divided in two parts, 536 and 1480, that added together give a triangular number (2016 = T63).

The spelling of 5361480 in words is "five million, three hundred sixty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 281 318 360 424 477 530 562 636 795 843 954 1060 1124 1272 1405 1590 1686 1908 2120 2248 2385 2529 2810 3180 3372 3816 4215 4770 5058 5620 6360 6744 8430 9540 10116 11240 12645 14893 16860 19080 20232 25290 29786 33720 44679 50580 59572 74465 89358 101160 119144 134037 148930 178716 223395 268074 297860 357432 446790 536148 595720 670185 893580 1072296 1340370 1787160 2680740 5361480