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1407801040 = 245137128449
BaseRepresentation
bin101001111101001…
…0101011011010000
310122010000200222021
41103322111123100
510340344113130
6351410021224
746613053132
oct12372253320
93563020867
101407801040
11662737838
12333577814
13195880489
14d4d83052
15838d637a
hex53e956d0

1407801040 has 40 divisors (see below), whose sum is σ = 3297054600. Its totient is φ = 559005696.

The previous prime is 1407800983. The next prime is 1407801053. The reversal of 1407801040 is 401087041.

It can be written as a sum of positive squares in 4 ways, for example, as 186158736 + 1221642304 = 13644^2 + 34952^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1407800996 and 1407801014.

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, 53265 + ... + 75184.

It is an arithmetic number, because the mean of its divisors is an integer number (82426365).

Almost surely, 21407801040 is an apocalyptic number.

1407801040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1407801040 is an abundant number, since it is smaller than the sum of its proper divisors (1889253560).

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

1407801040 is a wasteful number, since it uses less digits than its factorization.

1407801040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128599 (or 128593 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 1407801040 is about 37520.6748340165. The cubic root of 1407801040 is about 1120.7629368070.

Adding to 1407801040 its reverse (401087041), we get a palindrome (1808888081).

The spelling of 1407801040 in words is "one billion, four hundred seven million, eight hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 128449 256898 513796 642245 1027592 1284490 2055184 2568980 5137960 10275920 17597513 35195026 70390052 87987565 140780104 175975130 281560208 351950260 703900520 1407801040