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14204040 = 2335412887
BaseRepresentation
bin110110001011…
…110010001000
3222201122021120
4312023302020
512114012130
61224235240
7231506124
oct66136210
928648246
1014204040
118021784
12490bb20
132c34276
141c5a584
1513a8910
hexd8bc88

14204040 has 64 divisors (see below), whose sum is σ = 43666560. Its totient is φ = 3694080.

The previous prime is 14203979. The next prime is 14204051. The reversal of 14204040 is 4040241.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3477 + ... + 6363.

It is an arithmetic number, because the mean of its divisors is an integer number (682290).

Almost surely, 214204040 is an apocalyptic number.

14204040 is a gapful number since it is divisible by the number (10) 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 14204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21833280).

14204040 is an abundant number, since it is smaller than the sum of its proper divisors (29462520).

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

14204040 is a wasteful number, since it uses less digits than its factorization.

14204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 14204040 is about 3768.8247505025. The cubic root of 14204040 is about 242.1794538985.

Adding to 14204040 its reverse (4040241), we get a palindrome (18244281).

It can be divided in two parts, 1420 and 4040, that added together give a triangular number (5460 = T104).

The spelling of 14204040 in words is "fourteen million, two hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 2887 4920 5774 8661 11548 14435 17322 23096 28870 34644 43305 57740 69288 86610 115480 118367 173220 236734 346440 355101 473468 591835 710202 946936 1183670 1420404 1775505 2367340 2840808 3551010 4734680 7102020 14204040