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1415209640 = 235132721557
BaseRepresentation
bin101010001011010…
…0110001010101000
310122121222002122212
41110112212022220
510344243202030
6352232504252
750033040425
oct12426461250
93577862585
101415209640
11666937a49
12335b4b088
13197275670
14d5d50d4c
158439b595
hex545a62a8

1415209640 has 32 divisors (see below), whose sum is σ = 3429163080. Its totient is φ = 522538752.

The previous prime is 1415209639. The next prime is 1415209643. The reversal of 1415209640 is 469025141.

It can be written as a sum of positive squares in 4 ways, for example, as 356227876 + 1058981764 = 18874^2 + 32542^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1415209597 and 1415209606.

It is not an unprimeable number, because it can be changed into a prime (1415209643) 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 7 ways as a sum of consecutive naturals, for example, 1360259 + ... + 1361298.

Almost surely, 21415209640 is an apocalyptic number.

1415209640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1415209640 is an abundant number, since it is smaller than the sum of its proper divisors (2013953440).

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

1415209640 is a wasteful number, since it uses less digits than its factorization.

1415209640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721581 (or 2721577 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 1415209640 is about 37619.2721886004. The cubic root of 1415209640 is about 1122.7255155749.

The spelling of 1415209640 in words is "one billion, four hundred fifteen million, two hundred nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 2721557 5443114 10886228 13607785 21772456 27215570 35380241 54431140 70760482 108862280 141520964 176901205 283041928 353802410 707604820 1415209640