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1140338752 = 2674995101
BaseRepresentation
bin100001111111000…
…0011000001000000
32221110202012200121
41003332003001000
54313411320002
6305053230024
740154501530
oct10376030100
92843665617
101140338752
11535767423
12279a92314
13152335777
14ab63d4c0
156a1a3237
hex43f83040

1140338752 has 56 divisors (see below), whose sum is σ = 2591816000. Its totient is φ = 487641600.

The previous prime is 1140338723. The next prime is 1140338803. The reversal of 1140338752 is 2578330411.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221002 + ... + 226102.

Almost surely, 21140338752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140338752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295908000).

1140338752 is an abundant number, since it is smaller than the sum of its proper divisors (1451477248).

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

1140338752 is an equidigital number, since it uses as much as digits as its factorization.

1140338752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5619 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 1140338752 is about 33768.9021438364. The cubic root of 1140338752 is about 1044.7473888615.

The spelling of 1140338752 in words is "one billion, one hundred forty million, three hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 499 998 1996 3493 3992 5101 6986 7984 10202 13972 15968 20404 27944 31936 35707 40808 55888 71414 81616 111776 142828 163232 223552 285656 326464 571312 1142624 2285248 2545399 5090798 10181596 17817793 20363192 35635586 40726384 71271172 81452768 142542344 162905536 285084688 570169376 1140338752