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1142640400 = 245211259691
BaseRepresentation
bin100010000011011…
…0100111100010000
32221122002010221211
41010012310330100
54320003443100
6305214425504
740213166056
oct10406647420
92848063854
101142640400
11536a99710
1227a802294
131529602a5
14aba7c1d6
156a4aa1ba
hex441b4f10

1142640400 has 60 divisors (see below), whose sum is σ = 2994768144. Its totient is φ = 415504000.

The previous prime is 1142640379. The next prime is 1142640407. The reversal of 1142640400 is 40462411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1142640407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125446 + ... + 134245.

Almost surely, 21142640400 is an apocalyptic number.

1142640400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142640400 is an abundant number, since it is smaller than the sum of its proper divisors (1852127744).

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

1142640400 is a wasteful number, since it uses less digits than its factorization.

1142640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259720 (or 259709 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1142640400 is about 33802.9643670492. The cubic root of 1142640400 is about 1045.4498189395.

The spelling of 1142640400 in words is "one billion, one hundred forty-two million, six hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 259691 519382 1038764 1298455 2077528 2596910 2856601 4155056 5193820 5713202 6492275 10387640 11426404 12984550 14283005 20775280 22852808 25969100 28566010 45705616 51938200 57132020 71415025 103876400 114264040 142830050 228528080 285660100 571320200 1142640400