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1140235040 = 25574721661
BaseRepresentation
bin100001111110110…
…1001101100100000
32221110112221102102
41003331221230200
54313400010130
6305051105532
740153560260
oct10375515440
92843487372
101140235040
115356a650a
12279a422a8
131522ca4b9
14ab6137a0
156a182645
hex43f69b20

1140235040 has 96 divisors (see below), whose sum is σ = 3144282624. Its totient is φ = 382602240.

The previous prime is 1140235027. The next prime is 1140235043. The reversal of 1140235040 is 405320411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1140235043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41810 + ... + 63470.

It is an arithmetic number, because the mean of its divisors is an integer number (32752944).

Almost surely, 21140235040 is an apocalyptic number.

1140235040 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 1140235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572141312).

1140235040 is an abundant number, since it is smaller than the sum of its proper divisors (2004047584).

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

1140235040 is a wasteful number, since it uses less digits than its factorization.

1140235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21730 (or 21722 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1140235040 is about 33767.3664948867. The cubic root of 1140235040 is about 1044.7157151955.

Adding to 1140235040 its reverse (405320411), we get a palindrome (1545555451).

The spelling of 1140235040 in words is "one billion, one hundred forty million, two hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 70 80 94 112 140 160 188 224 235 280 329 376 470 560 658 752 940 1120 1316 1504 1645 1880 2632 3290 3760 5264 6580 7520 10528 13160 21661 26320 43322 52640 86644 108305 151627 173288 216610 303254 346576 433220 606508 693152 758135 866440 1018067 1213016 1516270 1732880 2036134 2426032 3032540 3465760 4072268 4852064 5090335 6065080 7126469 8144536 10180670 12130160 14252938 16289072 20361340 24260320 28505876 32578144 35632345 40722680 57011752 71264690 81445360 114023504 142529380 162890720 228047008 285058760 570117520 1140235040