Search a number
-
+
163976076 = 223411139331
BaseRepresentation
bin10011100011000…
…01001110001100
3102102112211220000
421301201032030
5313434213301
624134324300
74030526235
oct1161411614
9372484800
10163976076
1184618720
1246ab9690
1327c83484
1417ac608c
15e5e0786
hex9c6138c

163976076 has 120 divisors (see below), whose sum is σ = 472422720. Its totient is φ = 49183200.

The previous prime is 163976053. The next prime is 163976083. The reversal of 163976076 is 670679361.

163976076 is a `hidden beast` number, since 1 + 6 + 39 + 7 + 607 + 6 = 666.

163976076 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 495231 + ... + 495561.

It is an arithmetic number, because the mean of its divisors is an integer number (3936856).

Almost surely, 2163976076 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 163976076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236211360).

163976076 is an abundant number, since it is smaller than the sum of its proper divisors (308446644).

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

163976076 is a wasteful number, since it uses less digits than its factorization.

163976076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 163976076 is about 12805.3143655281. The cubic root of 163976076 is about 547.3437497451.

The spelling of 163976076 in words is "one hundred sixty-three million, nine hundred seventy-six thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 139 162 198 278 297 324 331 396 417 556 594 662 834 891 993 1188 1251 1324 1529 1668 1782 1986 2502 2979 3058 3564 3641 3753 3972 4587 5004 5958 6116 7282 7506 8937 9174 10923 11259 11916 13761 14564 15012 17874 18348 21846 22518 26811 27522 32769 35748 41283 43692 45036 46009 53622 55044 65538 82566 92018 98307 107244 123849 131076 138027 165132 184036 196614 247698 276054 294921 393228 414081 495396 506099 552108 589842 828162 1012198 1179684 1242243 1518297 1656324 2024396 2484486 3036594 3726729 4554891 4968972 6073188 7453458 9109782 13664673 14906916 18219564 27329346 40994019 54658692 81988038 163976076