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5470416 = 2436767
BaseRepresentation
bin10100110111100011010000
3101021221000000
4110313203100
52400023131
6313130000
764332510
oct24674320
911257000
105470416
1130a7006
1219b9900
131196c43
14a25840
15730ce6
hex5378d0

5470416 has 140 divisors (see below), whose sum is σ = 18432352. Its totient is φ = 1539648.

The previous prime is 5470411. The next prime is 5470427. The reversal of 5470416 is 6140745.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5470416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5470411) 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 27 ways as a sum of consecutive naturals, for example, 81615 + ... + 81681.

Almost surely, 25470416 is an apocalyptic number.

5470416 is a gapful number since it is divisible by the number (56) 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 5470416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9216176).

5470416 is an abundant number, since it is smaller than the sum of its proper divisors (12961936).

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

5470416 is an equidigital number, since it uses as much as digits as its factorization.

5470416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5470416 is about 2338.8920453924. The cubic root of 5470416 is about 176.2003572276.

It can be divided in two parts, 5470 and 416, that added together give a triangular number (5886 = T108).

The spelling of 5470416 in words is "five million, four hundred seventy thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 67 72 81 84 108 112 126 134 144 162 168 189 201 216 243 252 268 324 336 378 402 432 469 486 504 536 567 603 648 729 756 804 938 972 1008 1072 1134 1206 1296 1407 1458 1512 1608 1701 1809 1876 1944 2268 2412 2814 2916 3024 3216 3402 3618 3752 3888 4221 4536 4824 5103 5427 5628 5832 6804 7236 7504 8442 9072 9648 10206 10854 11256 11664 12663 13608 14472 16281 16884 20412 21708 22512 25326 27216 28944 32562 33768 37989 40824 43416 48843 50652 65124 67536 75978 81648 86832 97686 101304 113967 130248 151956 195372 202608 227934 260496 303912 341901 390744 455868 607824 683802 781488 911736 1367604 1823472 2735208 5470416