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196540992 = 2634311223
BaseRepresentation
bin10111011011011…
…11101001000000
3111200211022120000
423231233221000
5400303302432
631300320000
74604366544
oct1355575100
9450738500
10196540992
11a0a4017a
12559a3000
1331945a5b
141c161a24
15123c457c
hexbb6fa40

196540992 has 140 divisors (see below), whose sum is σ = 601894656. Its totient is φ = 63348480.

The previous prime is 196540987. The next prime is 196541011. The reversal of 196540992 is 299045691.

196540992 is a `hidden beast` number, since 19 + 6 + 540 + 9 + 92 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 160093 + ... + 161315.

Almost surely, 2196540992 is an apocalyptic number.

196540992 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 196540992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300947328).

196540992 is an abundant number, since it is smaller than the sum of its proper divisors (405353664).

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

196540992 is a wasteful number, since it uses less digits than its factorization.

196540992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 196540992 is about 14019.3078288480. The cubic root of 196540992 is about 581.4125222951.

The spelling of 196540992 in words is "one hundred ninety-six million, five hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 558 576 648 744 837 864 992 1116 1223 1296 1488 1674 1728 1984 2232 2446 2511 2592 2976 3348 3669 4464 4892 5022 5184 5952 6696 7338 8928 9784 10044 11007 13392 14676 17856 19568 20088 22014 26784 29352 33021 37913 39136 40176 44028 53568 58704 66042 75826 78272 80352 88056 99063 113739 117408 132084 151652 160704 176112 198126 227478 234816 264168 303304 341217 352224 396252 454956 528336 606608 682434 704448 792504 909912 1023651 1056672 1213216 1364868 1585008 1819824 2047302 2113344 2426432 2729736 3070953 3170016 3639648 4094604 5459472 6141906 6340032 7279296 8189208 10918944 12283812 16378416 21837888 24567624 32756832 49135248 65513664 98270496 196540992