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194751040 = 2651161907
BaseRepresentation
bin10111001101110…
…10101001000000
3111120110101012111
423212322221000
5344324013130
631154105104
74553233201
oct1346725100
9446411174
10194751040
119aa28380
125527b194
133146a103
141bc175a8
151216e02a
hexb9baa40

194751040 has 112 divisors (see below), whose sum is σ = 514770624. Its totient is φ = 69580800.

The previous prime is 194751023. The next prime is 194751041. The reversal of 194751040 is 40157491.

It is a super-3 number, since 3×1947510403 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 194750993 and 194751011.

It is not an unprimeable number, because it can be changed into a prime (194751041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 214267 + ... + 215173.

Almost surely, 2194751040 is an apocalyptic number.

194751040 is a gapful number since it is divisible by the number (10) 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 194751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257385312).

194751040 is an abundant number, since it is smaller than the sum of its proper divisors (320019584).

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

194751040 is a wasteful number, since it uses less digits than its factorization.

194751040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 194751040 is about 13955.3229987700. The cubic root of 194751040 is about 579.6421097674.

The spelling of 194751040 in words is "one hundred ninety-four million, seven hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 61 64 80 88 110 122 160 176 220 244 305 320 352 440 488 610 671 704 880 907 976 1220 1342 1760 1814 1952 2440 2684 3355 3520 3628 3904 4535 4880 5368 6710 7256 9070 9760 9977 10736 13420 14512 18140 19520 19954 21472 26840 29024 36280 39908 42944 49885 53680 55327 58048 72560 79816 99770 107360 110654 145120 159632 199540 214720 221308 276635 290240 319264 399080 442616 553270 608597 638528 798160 885232 1106540 1217194 1596320 1770464 2213080 2434388 3042985 3192640 3540928 4426160 4868776 6085970 8852320 9737552 12171940 17704640 19475104 24343880 38950208 48687760 97375520 194751040