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16135840 = 255714407
BaseRepresentation
bin111101100011…
…011010100000
31010100210012201
4331203122200
513112321330
61333502544
7254103160
oct75433240
933323181
1016135840
119121106
1254a1a54
13345c646
1422005a0
15163aeca
hexf636a0

16135840 has 48 divisors (see below), whose sum is σ = 43569792. Its totient is φ = 5531904.

The previous prime is 16135817. The next prime is 16135849. The reversal of 16135840 is 4853161.

16135840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 16135799 and 16135808.

It is not an unprimeable number, because it can be changed into a prime (16135849) 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, 6084 + ... + 8323.

It is an arithmetic number, because the mean of its divisors is an integer number (907704).

Almost surely, 216135840 is an apocalyptic number.

16135840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16135840 is an abundant number, since it is smaller than the sum of its proper divisors (27433952).

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

16135840 is a wasteful number, since it uses less digits than its factorization.

16135840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14429 (or 14421 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 16135840 is about 4016.9441121330. The cubic root of 16135840 is about 252.6953166421.

The spelling of 16135840 in words is "sixteen million, one hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 14407 28814 57628 72035 100849 115256 144070 201698 230512 288140 403396 461024 504245 576280 806792 1008490 1152560 1613584 2016980 2305120 3227168 4033960 8067920 16135840