Search a number
-
+
1035740730 = 235196612749
BaseRepresentation
bin111101101111000…
…010011000111010
32200011221002011210
4331233002120322
54110122200410
6250435303550
734444436163
oct7557023072
92604832153
101035740730
11491715382
1224aa4abb6
1313677214b
149b7b276a
1560de1220
hex3dbc263a

1035740730 has 64 divisors (see below), whose sum is σ = 2621520000. Its totient is φ = 261169920.

The previous prime is 1035740701. The next prime is 1035740731. The reversal of 1035740730 is 370475301.

It is a super-3 number, since 3×10357407303 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1035740731) 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 31 ways as a sum of consecutive naturals, for example, 375396 + ... + 378144.

It is an arithmetic number, because the mean of its divisors is an integer number (40961250).

Almost surely, 21035740730 is an apocalyptic number.

1035740730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1035740730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310760000).

1035740730 is an abundant number, since it is smaller than the sum of its proper divisors (1585779270).

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

1035740730 is a wasteful number, since it uses less digits than its factorization.

1035740730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439.

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 1035740730 is about 32182.9260633647. The cubic root of 1035740730 is about 1011.7743961422.

The spelling of 1035740730 in words is "one billion, thirty-five million, seven hundred forty thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 661 1322 1983 2749 3305 3966 5498 6610 8247 9915 12559 13745 16494 19830 25118 27490 37677 41235 52231 62795 75354 82470 104462 125590 156693 188385 261155 313386 376770 522310 783465 1566930 1817089 3634178 5451267 9085445 10902534 18170890 27256335 34524691 54512670 69049382 103574073 172623455 207148146 345246910 517870365 1035740730