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99687040 = 2751091429
BaseRepresentation
bin1011111000100…
…01101010000000
320221120121220121
411330101222000
5201004441130
613520350024
72320216525
oct574215200
9227517817
1099687040
11512a8392
1229475314
131786421b
14d34d14c
158b41d7a
hex5f11a80

99687040 has 64 divisors (see below), whose sum is σ = 240669000. Its totient is φ = 39481344.

The previous prime is 99687001. The next prime is 99687043. The reversal of 99687040 is 4078699.

It can be written as a sum of positive squares in 4 ways, for example, as 65674816 + 34012224 = 8104^2 + 5832^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×996870403 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (99687043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 69046 + ... + 70474.

Almost surely, 299687040 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 99687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120334500).

99687040 is an abundant number, since it is smaller than the sum of its proper divisors (140981960).

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

99687040 is a wasteful number, since it uses less digits than its factorization.

99687040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 99687040 is about 9984.3397378094. The cubic root of 99687040 is about 463.6741668056.

The spelling of 99687040 in words is "ninety-nine million, six hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 218 320 436 545 640 872 1090 1429 1744 2180 2858 3488 4360 5716 6976 7145 8720 11432 13952 14290 17440 22864 28580 34880 45728 57160 69760 91456 114320 155761 182912 228640 311522 457280 623044 778805 914560 1246088 1557610 2492176 3115220 4984352 6230440 9968704 12460880 19937408 24921760 49843520 99687040