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166987104 = 2532959981
BaseRepresentation
bin10011111010000…
…00010101100000
3102122012211020120
421331000111200
5320222041404
624323040240
74065236604
oct1175002540
9378184216
10166987104
1186294979
1247b10080
1328798b4b
141826b504
15e9d79d9
hex9f40560

166987104 has 48 divisors (see below), whose sum is σ = 453463920. Its totient is φ = 53742080.

The previous prime is 166987081. The next prime is 166987109. The reversal of 166987104 is 401789661.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166987109) 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, 27207 + ... + 32774.

It is an arithmetic number, because the mean of its divisors is an integer number (9447165).

Almost surely, 2166987104 is an apocalyptic number.

It is an amenable number.

166987104 is an abundant number, since it is smaller than the sum of its proper divisors (286476816).

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

166987104 is a wasteful number, since it uses less digits than its factorization.

166987104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60023 (or 60015 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 166987104 is about 12922.3490124667. The cubic root of 166987104 is about 550.6736692829.

The spelling of 166987104 in words is "one hundred sixty-six million, nine hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 59981 119962 179943 239924 359886 479848 719772 959696 1439544 1739449 1919392 2879088 3478898 5218347 5758176 6957796 10436694 13915592 20873388 27831184 41746776 55662368 83493552 166987104