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1142610640 = 24514282633
BaseRepresentation
bin100010000011010…
…1101101011010000
32221122000122010121
41010012231223100
54320002020030
6305214040024
740213013233
oct10406555320
92848018117
101142610640
11536a79316
1227a7a9014
1315294c892
14aba7141a
156a4a147a
hex441adad0

1142610640 has 20 divisors (see below), whose sum is σ = 2656569924. Its totient is φ = 457044224.

The previous prime is 1142610571. The next prime is 1142610649. The reversal of 1142610640 is 460162411.

It can be written as a sum of positive squares in 2 ways, for example, as 158659216 + 983951424 = 12596^2 + 31368^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142610649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7141237 + ... + 7141396.

Almost surely, 21142610640 is an apocalyptic number.

1142610640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142610640 is an abundant number, since it is smaller than the sum of its proper divisors (1513959284).

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

1142610640 is a wasteful number, since it uses less digits than its factorization.

1142610640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14282646 (or 14282640 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1142610640 is about 33802.5241661033. The cubic root of 1142610640 is about 1045.4407426350.

The spelling of 1142610640 in words is "one billion, one hundred forty-two million, six hundred ten thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 14282633 28565266 57130532 71413165 114261064 142826330 228522128 285652660 571305320 1142610640