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1140335040 = 26351391373
BaseRepresentation
bin100001111111000…
…0010000111000000
32221110202000121010
41003332002013000
54313411210130
6305053200520
740154454645
oct10376020700
92843660533
101140335040
11535764659
12279a90140
13152333b80
14ab63bdcc
156a1a20b0
hex43f821c0

1140335040 has 112 divisors (see below), whose sum is σ = 3899111328. Its totient is φ = 280694784.

The previous prime is 1140335003. The next prime is 1140335069. The reversal of 1140335040 is 405330411.

It is a junction number, because it is equal to n+sod(n) for n = 1140334998 and 1140335016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33207 + ... + 58166.

It is an arithmetic number, because the mean of its divisors is an integer number (34813494).

Almost surely, 21140335040 is an apocalyptic number.

1140335040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140335040 is an abundant number, since it is smaller than the sum of its proper divisors (2758776288).

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

1140335040 is a wasteful number, since it uses less digits than its factorization.

1140335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91406 (or 91396 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1140335040 is about 33768.8471819812. The cubic root of 1140335040 is about 1044.7462552490.

Adding to 1140335040 its reverse (405330411), we get a palindrome (1545665451).

The spelling of 1140335040 in words is "one billion, one hundred forty million, three hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 91373 182746 274119 365492 456865 548238 730984 913730 1096476 1187849 1370595 1461968 1827460 2192952 2375698 2741190 2923936 3563547 3654920 4385904 4751396 5482380 5847872 5939245 7127094 7309840 8771808 9502792 10964760 11878490 14254188 14619680 17543616 17817735 19005584 21929520 23756980 28508376 29239360 35635470 38011168 43859040 47513960 57016752 71270940 76022336 87718080 95027920 114033504 142541880 190055840 228067008 285083760 380111680 570167520 1140335040