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18196992 = 293211359
BaseRepresentation
bin100010101101…
…0101000000000
31021020111120200
41011122220000
514124300432
61450005200
7310446312
oct105325000
937214520
1018196992
11a2a9740
126116800
133a01868
1425b97b2
1518e6a7c
hex115aa00

18196992 has 120 divisors (see below), whose sum is σ = 57451680. Its totient is φ = 5498880.

The previous prime is 18196963. The next prime is 18196993. The reversal of 18196992 is 29969181.

It is a super-2 number, since 2×181969922 = 662261035696128, which contains 22 as substring.

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 (18196993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50509 + ... + 50867.

It is an arithmetic number, because the mean of its divisors is an integer number (478764).

Almost surely, 218196992 is an apocalyptic number.

18196992 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 18196992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28725840).

18196992 is an abundant number, since it is smaller than the sum of its proper divisors (39254688).

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

18196992 is a wasteful number, since it uses less digits than its factorization.

18196992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 375 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 18196992 is about 4265.7932439348. The cubic root of 18196992 is about 263.0267192755.

The spelling of 18196992 in words is "eighteen million, one hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 359 384 396 512 528 576 704 718 768 792 1056 1077 1152 1408 1436 1536 1584 2112 2154 2304 2816 2872 3168 3231 3949 4224 4308 4608 5632 5744 6336 6462 7898 8448 8616 11488 11847 12672 12924 15796 16896 17232 22976 23694 25344 25848 31592 34464 35541 45952 47388 50688 51696 63184 68928 71082 91904 94776 103392 126368 137856 142164 183808 189552 206784 252736 275712 284328 379104 413568 505472 551424 568656 758208 827136 1010944 1137312 1516416 1654272 2021888 2274624 3032832 4549248 6065664 9098496 18196992