Search a number
-
+
96631380 = 2235559337
BaseRepresentation
bin1011100001001…
…11101001010100
320201211101100000
411300213221110
5144214201010
613331051300
72252232066
oct560475124
9221741300
1096631380
114a60064a
1228440b30
1317034441
14cb95736
15873b7c0
hex5c27a54

96631380 has 144 divisors (see below), whose sum is σ = 310040640. Its totient is φ = 25256448.

The previous prime is 96631357. The next prime is 96631387. The reversal of 96631380 is 8313669.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96631387) by changing a digit.

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, 286572 + ... + 286908.

It is an arithmetic number, because the mean of its divisors is an integer number (2153060).

Almost surely, 296631380 is an apocalyptic number.

96631380 is a gapful number since it is divisible by the number (90) 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 96631380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155020320).

96631380 is an abundant number, since it is smaller than the sum of its proper divisors (213409260).

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

96631380 is a wasteful number, since it uses less digits than its factorization.

96631380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 96631380 is about 9830.1261436464. The cubic root of 96631380 is about 458.8873233609.

The spelling of 96631380 in words is "ninety-six million, six hundred thirty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 81 90 108 118 135 162 177 180 236 243 270 295 324 337 354 405 486 531 540 590 674 708 810 885 972 1011 1062 1180 1215 1348 1593 1620 1685 1770 2022 2124 2430 2655 3033 3186 3370 3540 4044 4779 4860 5055 5310 6066 6372 6740 7965 9099 9558 10110 10620 12132 14337 15165 15930 18198 19116 19883 20220 23895 27297 28674 30330 31860 36396 39766 45495 47790 54594 57348 59649 60660 71685 79532 81891 90990 95580 99415 109188 119298 136485 143370 163782 178947 181980 198830 238596 272970 286740 298245 327564 357894 397660 409455 536841 545940 596490 715788 818910 894735 1073682 1192980 1610523 1637820 1789470 2147364 2684205 3221046 3578940 4831569 5368410 6442092 8052615 9663138 10736820 16105230 19326276 24157845 32210460 48315690 96631380