Search a number
-
+
981924132 = 2237231103523
BaseRepresentation
bin111010100001101…
…111100100100100
32112102122220200110
4322201233210210
54002333033012
6241234013020
733222134400
oct7241574444
92472586613
10981924132
114642a8152
12234a17170
1312857b7c7
14945a4100
155b31073c
hex3a86f924

981924132 has 144 divisors (see below), whose sum is σ = 2783219712. Its totient is φ = 268349760.

The previous prime is 981924109. The next prime is 981924133. The reversal of 981924132 is 231429189.

981924132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (981924133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1877223 + ... + 1877745.

Almost surely, 2981924132 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 981924132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391609856).

981924132 is an abundant number, since it is smaller than the sum of its proper divisors (1801295580).

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

981924132 is a wasteful number, since it uses less digits than its factorization.

981924132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 669 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 981924132 is about 31335.6686860198. The cubic root of 981924132 is about 993.9380375315.

The spelling of 981924132 in words is "nine hundred eighty-one million, nine hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 103 124 147 186 196 206 217 294 309 372 412 434 523 588 618 651 721 868 1046 1236 1302 1442 1519 1569 2092 2163 2604 2884 3038 3138 3193 3661 4326 4557 5047 6076 6276 6386 7322 8652 9114 9579 10094 10983 12772 14644 15141 16213 18228 19158 20188 21966 22351 25627 30282 32426 38316 43932 44702 48639 51254 53869 60564 64852 67053 76881 89404 97278 102508 107738 113491 134106 153762 156457 161607 194556 215476 226982 268212 307524 312914 323214 340473 377083 453964 469371 625828 646428 680946 754166 794437 938742 1131249 1361892 1508332 1588874 1669939 1877484 2262498 2383311 2639581 3177748 3339878 4524996 4766622 5009817 5279162 6679756 7918743 9533244 10019634 10558324 11689573 15837486 20039268 23379146 31674972 35068719 46758292 70137438 81827011 140274876 163654022 245481033 327308044 490962066 981924132