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69974016 = 211371627
BaseRepresentation
bin1000010101110…
…11100000000000
311212200001022020
410022323200000
5120403132031
610535441440
71506524610
oct412734000
9155601266
1069974016
1136553572
121b526280
131165ca58
149416a40
156223096
hex42bb800

69974016 has 96 divisors (see below), whose sum is σ = 213333120. Its totient is φ = 19980288.

The previous prime is 69973991. The next prime is 69974039. The reversal of 69974016 is 61047996.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 42195 + ... + 43821.

It is an arithmetic number, because the mean of its divisors is an integer number (2222220).

Almost surely, 269974016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69974016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106666560).

69974016 is an abundant number, since it is smaller than the sum of its proper divisors (143359104).

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

69974016 is a wasteful number, since it uses less digits than its factorization.

69974016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 69974016 is about 8365.0472802011. The cubic root of 69974016 is about 412.0775296331.

The spelling of 69974016 in words is "sixty-nine million, nine hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1627 1792 2048 2688 3072 3254 3584 4881 5376 6144 6508 7168 9762 10752 11389 13016 14336 19524 21504 22778 26032 34167 39048 43008 45556 52064 68334 78096 91112 104128 136668 156192 182224 208256 273336 312384 364448 416512 546672 624768 728896 833024 1093344 1249536 1457792 1666048 2186688 2499072 2915584 3332096 4373376 4998144 5831168 8746752 9996288 11662336 17493504 23324672 34987008 69974016