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53416680 = 23352771607
BaseRepresentation
bin1100101111000…
…1001011101000
310201111211220120
43023301023220
5102133313210
65144523240
71216014522
oct313611350
9121454816
1053416680
1128174819
1215a80520
13b0b3605
147146a12
154a52270
hex32f12e8

53416680 has 64 divisors (see below), whose sum is σ = 160928640. Its totient is φ = 14184192.

The previous prime is 53416673. The next prime is 53416681. The reversal of 53416680 is 8661435.

53416680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (53416681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32437 + ... + 34043.

It is an arithmetic number, because the mean of its divisors is an integer number (2514510).

Almost surely, 253416680 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 53416680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80464320).

53416680 is an abundant number, since it is smaller than the sum of its proper divisors (107511960).

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

53416680 is a wasteful number, since it uses less digits than its factorization.

53416680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 53416680 is about 7308.6715619188. The cubic root of 53416680 is about 376.6103900399.

It can be divided in two parts, 5341 and 6680, that added together give a palindrome (12021).

The spelling of 53416680 in words is "fifty-three million, four hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 277 554 831 1108 1385 1607 1662 2216 2770 3214 3324 4155 4821 5540 6428 6648 8035 8310 9642 11080 12856 16070 16620 19284 24105 32140 33240 38568 48210 64280 96420 192840 445139 890278 1335417 1780556 2225695 2670834 3561112 4451390 5341668 6677085 8902780 10683336 13354170 17805560 26708340 53416680