Search a number
-
+
96148740 = 223519223193
BaseRepresentation
bin1011011101100…
…01110100000100
320200220212021110
411232301310010
5144103224430
613312445020
72245152012
oct556616404
9220825243
1096148740
114a300a76
1228249770
1316bc585c
14caab8b2
1586937b0
hex5bb1d04

96148740 has 144 divisors (see below), whose sum is σ = 298021248. Its totient is φ = 23113728.

The previous prime is 96148733. The next prime is 96148769. The reversal of 96148740 is 4784169.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 498084 + ... + 498276.

It is an arithmetic number, because the mean of its divisors is an integer number (2069592).

Almost surely, 296148740 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 96148740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149010624).

96148740 is an abundant number, since it is smaller than the sum of its proper divisors (201872508).

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

96148740 is a wasteful number, since it uses less digits than its factorization.

96148740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 96148740 is about 9805.5463896715. The cubic root of 96148740 is about 458.1220538788.

The spelling of 96148740 in words is "ninety-six million, one hundred forty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 30 38 46 57 60 69 76 92 95 114 115 138 190 193 228 230 276 285 345 361 380 386 437 460 570 579 690 722 772 874 965 1083 1140 1158 1311 1380 1444 1748 1805 1930 2166 2185 2316 2622 2895 3610 3667 3860 4332 4370 4439 5244 5415 5790 6555 7220 7334 8303 8740 8878 10830 11001 11580 13110 13317 14668 16606 17756 18335 21660 22002 22195 24909 26220 26634 33212 36670 41515 44004 44390 49818 53268 55005 66585 69673 73340 83030 84341 88780 99636 110010 124545 133170 139346 166060 168682 209019 220020 249090 253023 266340 278692 337364 348365 418038 421705 498180 506046 696730 836076 843410 1012092 1045095 1265115 1393460 1602479 1686820 2090190 2530230 3204958 4180380 4807437 5060460 6409916 8012395 9614874 16024790 19229748 24037185 32049580 48074370 96148740