Search a number
-
+
171232992 = 25327157541
BaseRepresentation
bin10100011010011…
…00111011100000
3102221012112111200
422031030323200
5322313423432
624554041200
74146312360
oct1215147340
9387175450
10171232992
1188724977
1249419200
13296245c8
1418a549a0
1510075a7c
hexa34cee0

171232992 has 144 divisors (see below), whose sum is σ = 561087072. Its totient is φ = 48522240.

The previous prime is 171232987. The next prime is 171233017. The reversal of 171232992 is 299232171.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316242 + ... + 316782.

It is an arithmetic number, because the mean of its divisors is an integer number (3896438).

Almost surely, 2171232992 is an apocalyptic number.

171232992 is a gapful number since it is divisible by the number (12) 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 171232992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280543536).

171232992 is an abundant number, since it is smaller than the sum of its proper divisors (389854080).

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

171232992 is a wasteful number, since it uses less digits than its factorization.

171232992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 710 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 171232992 is about 13085.6024698903. The cubic root of 171232992 is about 555.3018859211.

The spelling of 171232992 in words is "one hundred seventy-one million, two hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 157 168 224 252 288 314 336 471 504 541 628 672 942 1008 1082 1099 1256 1413 1623 1884 2016 2164 2198 2512 2826 3246 3297 3768 3787 4328 4396 4869 5024 5652 6492 6594 7536 7574 8656 8792 9738 9891 11304 11361 12984 13188 15072 15148 17312 17584 19476 19782 22608 22722 25968 26376 30296 34083 35168 38952 39564 45216 45444 51936 52752 60592 68166 77904 79128 84937 90888 105504 121184 136332 155808 158256 169874 181776 254811 272664 316512 339748 363552 509622 545328 594559 679496 764433 1019244 1090656 1189118 1358992 1528866 1783677 2038488 2378236 2717984 3057732 3567354 4076976 4756472 5351031 6115464 7134708 8153952 9512944 10702062 12230928 14269416 19025888 21404124 24461856 28538832 42808248 57077664 85616496 171232992