Search a number
-
+
993140880 = 24354678861
BaseRepresentation
bin111011001100100…
…010000010010000
32120012202210011120
4323030202002100
54013221002010
6242314242240
733416362314
oct7314420220
92505683146
10993140880
1146a669496
12238726380
1312a9a8134
1495c83b44
155c2c8e70
hex3b322090

993140880 has 80 divisors (see below), whose sum is σ = 3085677504. Its totient is φ = 264240640.

The previous prime is 993140843. The next prime is 993140891. The reversal of 993140880 is 88041399.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107650 + ... + 116510.

Almost surely, 2993140880 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 993140880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542838752).

993140880 is an abundant number, since it is smaller than the sum of its proper divisors (2092536624).

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

993140880 is a wasteful number, since it uses less digits than its factorization.

993140880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9344 (or 9338 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 993140880 is about 31514.1377797331. The cubic root of 993140880 is about 997.7083791521.

The spelling of 993140880 in words is "nine hundred ninety-three million, one hundred forty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 467 934 1401 1868 2335 2802 3736 4670 5604 7005 7472 8861 9340 11208 14010 17722 18680 22416 26583 28020 35444 37360 44305 53166 56040 70888 88610 106332 112080 132915 141776 177220 212664 265830 354440 425328 531660 708880 1063320 2126640 4138087 8276174 12414261 16552348 20690435 24828522 33104696 41380870 49657044 62071305 66209392 82761740 99314088 124142610 165523480 198628176 248285220 331046960 496570440 993140880