Search a number
-
+
1142023040 = 2756726633
BaseRepresentation
bin100010000010001…
…1110001110000000
32221120220210002122
41010010132032000
54314324214130
6305153303412
740205015144
oct10404361600
92846823078
101142023040
115367078a4
1227a564b68
131527a52a2
14ab95b224
156a3d72e5
hex4411e380

1142023040 has 64 divisors (see below), whose sum is σ = 2771001360. Its totient is φ = 449974272.

The previous prime is 1142023039. The next prime is 1142023067. The reversal of 1142023040 is 403202411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29564 + ... + 56196.

Almost surely, 21142023040 is an apocalyptic number.

1142023040 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 1142023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385500680).

1142023040 is an abundant number, since it is smaller than the sum of its proper divisors (1628978320).

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

1142023040 is an equidigital number, since it uses as much as digits as its factorization.

1142023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26719 (or 26707 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1142023040 is about 33793.8313897670. The cubic root of 1142023040 is about 1045.2615021330.

Adding to 1142023040 its reverse (403202411), we get a palindrome (1545225451).

The spelling of 1142023040 in words is "one billion, one hundred forty-two million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 268 320 335 536 640 670 1072 1340 2144 2680 4288 5360 8576 10720 21440 26633 42880 53266 106532 133165 213064 266330 426128 532660 852256 1065320 1704512 1784411 2130640 3409024 3568822 4261280 7137644 8522560 8922055 14275288 17045120 17844110 28550576 35688220 57101152 71376440 114202304 142752880 228404608 285505760 571011520 1142023040