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196009776 = 243219312311
BaseRepresentation
bin10111010111011…
…01111100110000
3111122211022212100
423223231330300
5400134303101
631241100400
74600025034
oct1353557460
9448738770
10196009776
11a0708056
1255787700
13317bb021
141c0641c4
151231be86
hexbaedf30

196009776 has 120 divisors (see below), whose sum is σ = 596311040. Its totient is φ = 59875200.

The previous prime is 196009763. The next prime is 196009777. The reversal of 196009776 is 677900691.

It is not an unprimeable number, because it can be changed into a prime (196009777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83661 + ... + 85971.

Almost surely, 2196009776 is an apocalyptic number.

196009776 is a gapful number since it is divisible by the number (16) 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 196009776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298155520).

196009776 is an abundant number, since it is smaller than the sum of its proper divisors (400301264).

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

196009776 is a wasteful number, since it uses less digits than its factorization.

196009776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 196009776 is about 14000.3491385037. The cubic root of 196009776 is about 580.8882307960. Note that the first 3 decimals are identical.

The spelling of 196009776 in words is "one hundred ninety-six million, nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 36 38 48 57 62 72 76 93 114 124 144 152 171 186 228 248 279 304 342 372 456 496 558 589 684 744 912 1116 1178 1368 1488 1767 2232 2311 2356 2736 3534 4464 4622 4712 5301 6933 7068 9244 9424 10602 13866 14136 18488 20799 21204 27732 28272 36976 41598 42408 43909 55464 71641 83196 84816 87818 110928 131727 143282 166392 175636 214923 263454 286564 332784 351272 395181 429846 526908 573128 644769 702544 790362 859692 1053816 1146256 1289538 1361179 1580724 1719384 2107632 2579076 2722358 3161448 3438768 4083537 5158152 5444716 6322896 8167074 10316304 10889432 12250611 16334148 21778864 24501222 32668296 49002444 65336592 98004888 196009776