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5460312 = 23311133743
BaseRepresentation
bin10100110101000101011000
3101021102010210
4110311011120
52344212222
6313011120
764261164
oct24650530
911242123
105460312
11309a460
1219b3aa0
131192470
14a21ca4
1572cd0c
hex535158

5460312 has 128 divisors (see below), whose sum is σ = 16853760. Its totient is φ = 1451520.

The previous prime is 5460263. The next prime is 5460331. The reversal of 5460312 is 2130645.

It is a happy number.

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, 126963 + ... + 127005.

It is an arithmetic number, because the mean of its divisors is an integer number (131670).

Almost surely, 25460312 is an apocalyptic number.

5460312 is a gapful number since it is divisible by the number (52) 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 5460312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8426880).

5460312 is an abundant number, since it is smaller than the sum of its proper divisors (11393448).

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

5460312 is a wasteful number, since it uses less digits than its factorization.

5460312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5460312 is about 2336.7310499927. The cubic root of 5460312 is about 176.0918081617.

Adding to 5460312 its reverse (2130645), we get a palindrome (7590957).

It can be divided in two parts, 54603 and 12, that added together give a triangular number (54615 = T330).

The spelling of 5460312 in words is "five million, four hundred sixty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 37 39 43 44 52 66 74 78 86 88 104 111 129 132 143 148 156 172 222 258 264 286 296 312 344 407 429 444 473 481 516 559 572 814 858 888 946 962 1032 1118 1144 1221 1419 1443 1591 1628 1677 1716 1892 1924 2236 2442 2838 2886 3182 3256 3354 3432 3784 3848 4472 4773 4884 5291 5676 5772 6149 6364 6708 9546 9768 10582 11352 11544 12298 12728 13416 15873 17501 18447 19092 20683 21164 24596 31746 35002 36894 38184 41366 42328 49192 52503 62049 63492 70004 73788 82732 105006 124098 126984 140008 147576 165464 210012 227513 248196 420024 455026 496392 682539 910052 1365078 1820104 2730156 5460312