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20076168 = 2337731637
BaseRepresentation
bin100110010010…
…1011010001000
31101202222022210
41030211122020
520114414133
61554145120
7332434050
oct114453210
941688283
1020076168
1110372582
1268821a0
13420bcb8
142948560
151b68763
hex1325688

20076168 has 64 divisors (see below), whose sum is σ = 58181760. Its totient is φ = 5654016.

The previous prime is 20076113. The next prime is 20076181. The reversal of 20076168 is 86167002.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11446 + ... + 13082.

It is an arithmetic number, because the mean of its divisors is an integer number (909090).

Almost surely, 220076168 is an apocalyptic number.

20076168 is a gapful number since it is divisible by the number (28) 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 20076168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29090880).

20076168 is an abundant number, since it is smaller than the sum of its proper divisors (38105592).

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

20076168 is a wasteful number, since it uses less digits than its factorization.

20076168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 20076168 is about 4480.6437037551. The cubic root of 20076168 is about 271.7859114103.

The spelling of 20076168 in words is "twenty million, seventy-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1533 1637 1752 2044 3066 3274 4088 4911 6132 6548 9822 11459 12264 13096 19644 22918 34377 39288 45836 68754 91672 119501 137508 239002 275016 358503 478004 717006 836507 956008 1434012 1673014 2509521 2868024 3346028 5019042 6692056 10038084 20076168