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296576140 = 2257103131157
BaseRepresentation
bin10001101011010…
…110010010001100
3202200001121222111
4101223112102030
51101410414030
645232353404
710230566320
oct2153262214
9680047874
10296576140
11142456053
12833a5864
134959c553
142b561980
151b08462a
hex11ad648c

296576140 has 96 divisors (see below), whose sum is σ = 728792064. Its totient is φ = 99290880.

The previous prime is 296576129. The next prime is 296576153. The reversal of 296576140 is 41675692.

It is a junction number, because it is equal to n+sod(n) for n = 296576093 and 296576102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1888942 + ... + 1889098.

It is an arithmetic number, because the mean of its divisors is an integer number (7591584).

Almost surely, 2296576140 is an apocalyptic number.

296576140 is a gapful number since it is divisible by the number (20) 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 296576140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364396032).

296576140 is an abundant number, since it is smaller than the sum of its proper divisors (432215924).

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

296576140 is a wasteful number, since it uses less digits than its factorization.

296576140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 296576140 is about 17221.3861230738. The cubic root of 296576140 is about 666.8764834029.

The spelling of 296576140 in words is "two hundred ninety-six million, five hundred seventy-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 131 140 157 206 262 314 412 515 524 628 655 721 785 917 1030 1099 1310 1442 1570 1834 2060 2198 2620 2884 3140 3605 3668 4396 4585 5495 7210 9170 10990 13493 14420 16171 18340 20567 21980 26986 32342 41134 53972 64684 67465 80855 82268 94451 102835 113197 134930 143969 161710 188902 205670 226394 269860 287938 323420 377804 411340 452788 472255 565985 575876 719845 944510 1131970 1439690 1889020 2118401 2263940 2879380 4236802 8473604 10592005 14828807 21184010 29657614 42368020 59315228 74144035 148288070 296576140