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16829040 = 243570121
BaseRepresentation
bin100000000110…
…0101001110000
31011200000002210
41000030221300
513302012130
61400412120
7263021154
oct100145160
934600083
1016829040
1195549a8
125777040
133643017
142341064
1517265b0
hex100ca70

16829040 has 40 divisors (see below), whose sum is σ = 52170768. Its totient is φ = 4487680.

The previous prime is 16829011. The next prime is 16829069. The reversal of 16829040 is 4092861.

It is an interprime number because it is at equal distance from previous prime (16829011) and next prime (16829069).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16828989 and 16829007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34821 + ... + 35300.

Almost surely, 216829040 is an apocalyptic number.

16829040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16829040 is an abundant number, since it is smaller than the sum of its proper divisors (35341728).

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

16829040 is a wasteful number, since it uses less digits than its factorization.

16829040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70137 (or 70131 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 16829040 is about 4102.3212940968. The cubic root of 16829040 is about 256.2633195535.

The spelling of 16829040 in words is "sixteen million, eight hundred twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 70121 140242 210363 280484 350605 420726 560968 701210 841452 1051815 1121936 1402420 1682904 2103630 2804840 3365808 4207260 5609680 8414520 16829040