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4116920 = 235195417
BaseRepresentation
bin1111101101000110111000
321202011100112
433231012320
52023220140
6224123452
746664453
oct17550670
97664315
104116920
112362115
121466588
13b11b62
1479249a
15564c65
hex3ed1b8

4116920 has 32 divisors (see below), whose sum is σ = 9752400. Its totient is φ = 1559808.

The previous prime is 4116919. The next prime is 4116923. The reversal of 4116920 is 296114.

It is a happy number.

It is a super-3 number, since 3×41169203 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4116923) 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 7 ways as a sum of consecutive naturals, for example, 1949 + ... + 3468.

Almost surely, 24116920 is an apocalyptic number.

4116920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4116920 is an abundant number, since it is smaller than the sum of its proper divisors (5635480).

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

4116920 is a wasteful number, since it uses less digits than its factorization.

4116920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5447 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 4116920 is about 2029.0194676247. The cubic root of 4116920 is about 160.2719333979.

It can be divided in two parts, 41 and 16920, that added together give a palindrome (16961).

The spelling of 4116920 in words is "four million, one hundred sixteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 5417 10834 21668 27085 43336 54170 102923 108340 205846 216680 411692 514615 823384 1029230 2058460 4116920