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166987008 = 28348053
BaseRepresentation
bin10011111010000…
…00010100000000
3102122012211010000
421331000110000
5320222041013
624323040000
74065236406
oct1175002400
9378184100
10166987008
11862948a1
1247b10000
1328798aa6
141826b476
15e9d7973
hex9f40500

166987008 has 90 divisors (see below), whose sum is σ = 497986874. Its totient is φ = 55655424.

The previous prime is 166986997. The next prime is 166987033. The reversal of 166987008 is 800789661.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 156950784 + 10036224 = 12528^2 + 3168^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16710 + ... + 24762.

Almost surely, 2166987008 is an apocalyptic number.

166987008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166987008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248993437).

166987008 is an abundant number, since it is smaller than the sum of its proper divisors (330999866).

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

166987008 is an frugal number, since it uses more digits than its factorization.

166987008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8081 (or 8058 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 166987008 is about 12922.3452979713. The cubic root of 166987008 is about 550.6735637565.

The spelling of 166987008 in words is "one hundred sixty-six million, nine hundred eighty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 8053 10368 16106 20736 24159 32212 48318 64424 72477 96636 128848 144954 193272 217431 257696 289908 386544 434862 515392 579816 652293 773088 869724 1030784 1159632 1304586 1546176 1739448 2061568 2319264 2609172 3092352 3478896 4638528 5218344 6184704 6957792 9277056 10436688 13915584 18554112 20873376 27831168 41746752 55662336 83493504 166987008