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20072008 = 23112347211
BaseRepresentation
bin100110010010…
…0011001001000
31101202202121201
41030210121020
520114301013
61554113544
7332415655
oct114443110
941682551
1020072008
111036a440
12687b8b4
13420a138
142946c2c
151b673dd
hex1324648

20072008 has 64 divisors (see below), whose sum is σ = 43960320. Its totient is φ = 8500800.

The previous prime is 20071991. The next prime is 20072027. The reversal of 20072008 is 80027002.

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, 95023 + ... + 95233.

It is an arithmetic number, because the mean of its divisors is an integer number (686880).

Almost surely, 220072008 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 20072008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21980160).

20072008 is an abundant number, since it is smaller than the sum of its proper divisors (23888312).

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

20072008 is a wasteful number, since it uses less digits than its factorization.

20072008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 20072008 is about 4480.1794606913. The cubic root of 20072008 is about 271.7671377829.

The spelling of 20072008 in words is "twenty million, seventy-two thousand, eight".

Divisors: 1 2 4 8 11 22 23 44 46 47 88 92 94 184 188 211 253 376 422 506 517 844 1012 1034 1081 1688 2024 2068 2162 2321 4136 4324 4642 4853 8648 9284 9706 9917 11891 18568 19412 19834 23782 38824 39668 47564 53383 79336 95128 106766 109087 213532 218174 228091 427064 436348 456182 872696 912364 1824728 2509001 5018002 10036004 20072008