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1998194832 = 24361631051
BaseRepresentation
bin111011100011010…
…0000100010010000
312011020221211000000
41313012200202100
513043014213312
6530140130000
7100342242624
oct16706404220
95136854000
101998194832
11935a24397
12479236900
1325ac9480a
1414d549184
15ba657adc
hex771a0890

1998194832 has 140 divisors (see below), whose sum is σ = 5845766224. Its totient is φ = 661348800.

The previous prime is 1998194827. The next prime is 1998194839. The reversal of 1998194832 is 2384918991.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (1998194839) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1900707 + ... + 1901757.

Almost surely, 21998194832 is an apocalyptic number.

1998194832 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 1998194832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922883112).

1998194832 is an abundant number, since it is smaller than the sum of its proper divisors (3847571392).

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

1998194832 is a wasteful number, since it uses less digits than its factorization.

1998194832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1219 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 1998194832 is about 44701.1726020694. The cubic root of 1998194832 is about 1259.5418742657.

The spelling of 1998194832 in words is "one billion, nine hundred ninety-eight million, one hundred ninety-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 163 216 243 324 326 432 486 489 648 652 729 972 978 1051 1296 1304 1458 1467 1944 1956 2102 2608 2916 2934 3153 3888 3912 4204 4401 5832 5868 6306 7824 8408 8802 9459 11664 11736 12612 13203 16816 17604 18918 23472 25224 26406 28377 35208 37836 39609 50448 52812 56754 70416 75672 79218 85131 105624 113508 118827 151344 158436 170262 171313 211248 227016 237654 255393 316872 340524 342626 454032 475308 510786 513939 633744 681048 685252 766179 950616 1021572 1027878 1362096 1370504 1532358 1541817 1901232 2043144 2055756 2741008 3064716 3083634 4086288 4111512 4625451 6129432 6167268 8223024 9250902 12258864 12334536 13876353 18501804 24669072 27752706 37003608 41629059 55505412 74007216 83258118 111010824 124887177 166516236 222021648 249774354 333032472 499548708 666064944 999097416 1998194832