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20152416 = 253239127
BaseRepresentation
bin100110011100…
…0000001100000
31101220211220210
41030320001200
520124334131
61555534120
7333202254
oct114700140
941824823
1020152416
1110414899
1268ba340
13423790b
142968264
151b81146
hex1338060

20152416 has 48 divisors (see below), whose sum is σ = 55206144. Its totient is φ = 6424704.

The previous prime is 20152411. The next prime is 20152421. The reversal of 20152416 is 61425102.

It is an interprime number because it is at equal distance from previous prime (20152411) and next prime (20152421).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×201524162 = 812239741274112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20152392 and 20152401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20152411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2356 + ... + 6771.

It is an arithmetic number, because the mean of its divisors is an integer number (1150128).

Almost surely, 220152416 is an apocalyptic number.

It is an amenable number.

20152416 is an abundant number, since it is smaller than the sum of its proper divisors (35053728).

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

20152416 is a wasteful number, since it uses less digits than its factorization.

20152416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9163 (or 9155 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 20152416 is about 4489.1442391618. The cubic root of 20152416 is about 272.1295518956.

Adding to 20152416 its reverse (61425102), we get a palindrome (81577518).

The spelling of 20152416 in words is "twenty million, one hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 9127 18254 27381 36508 54762 73016 109524 146032 209921 219048 292064 419842 438096 629763 839684 876192 1259526 1679368 2519052 3358736 5038104 6717472 10076208 20152416