Search a number
-
+
188805006 = 23413372423
BaseRepresentation
bin10110100000011…
…10111110001110
3111011021021210000
423100032332032
5341313230011
630422425130
74451546625
oct1320167616
9434237700
10188805006
1197636aa5
12532921a6
1330167850
141b10a6bc
1511897356
hexb40ef8e

188805006 has 80 divisors (see below), whose sum is σ = 468113184. Its totient is φ = 56500416.

The previous prime is 188804963. The next prime is 188805013. The reversal of 188805006 is 600508881.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76711 + ... + 79133.

Almost surely, 2188805006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188805006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234056592).

188805006 is an abundant number, since it is smaller than the sum of its proper divisors (279308178).

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

188805006 is a wasteful number, since it uses less digits than its factorization.

188805006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 188805006 is about 13740.6333915144. The cubic root of 188805006 is about 573.6819270769.

The spelling of 188805006 in words is "one hundred eighty-eight million, eight hundred five thousand, six".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 74 78 81 111 117 162 222 234 333 351 481 666 702 962 999 1053 1443 1998 2106 2423 2886 2997 4329 4846 5994 7269 8658 12987 14538 21807 25974 31499 38961 43614 62998 65421 77922 89651 94497 130842 179302 188994 196263 268953 283491 392526 537906 566982 806859 850473 1165463 1613718 1700946 2330926 2420577 2551419 3496389 4841154 5102838 6992778 7261731 10489167 14523462 20978334 31467501 62935002 94402503 188805006