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5401320 = 23351923103
BaseRepresentation
bin10100100110101011101000
3101011102012220
4110212223220
52340320240
6311434040
763624201
oct24465350
911142186
105401320
11305a101
121985920
131171662
14a085a8
1571a5d0
hex526ae8

5401320 has 128 divisors (see below), whose sum is σ = 17971200. Its totient is φ = 1292544.

The previous prime is 5401313. The next prime is 5401327. The reversal of 5401320 is 231045.

It is an interprime number because it is at equal distance from previous prime (5401313) and next prime (5401327).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5401320.

It is not an unprimeable number, because it can be changed into a prime (5401327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 52389 + ... + 52491.

It is an arithmetic number, because the mean of its divisors is an integer number (140400).

Almost surely, 25401320 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 5401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8985600).

5401320 is an abundant number, since it is smaller than the sum of its proper divisors (12569880).

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

5401320 is a wasteful number, since it uses less digits than its factorization.

5401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5401320 is about 2324.0740091486. The cubic root of 5401320 is about 175.4553583260.

Adding to 5401320 its reverse (231045), we get a palindrome (5632365).

The spelling of 5401320 in words is "five million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 23 24 30 38 40 46 57 60 69 76 92 95 103 114 115 120 138 152 184 190 206 228 230 276 285 309 345 380 412 437 456 460 515 552 570 618 690 760 824 874 920 1030 1140 1236 1311 1380 1545 1748 1957 2060 2185 2280 2369 2472 2622 2760 3090 3496 3914 4120 4370 4738 5244 5871 6180 6555 7107 7828 8740 9476 9785 10488 11742 11845 12360 13110 14214 15656 17480 18952 19570 23484 23690 26220 28428 29355 35535 39140 45011 46968 47380 52440 56856 58710 71070 78280 90022 94760 117420 135033 142140 180044 225055 234840 270066 284280 360088 450110 540132 675165 900220 1080264 1350330 1800440 2700660 5401320