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1414535680 = 295552553
BaseRepresentation
bin101010001010000…
…0001101000000000
310122120200212011101
41110110001220000
510344110120210
6352210224144
750024232505
oct12424015000
93576625141
101414535680
11666517658
12335885054
1319709a97c
14d5c174ac
15842b6a3a
hex54501a00

1414535680 has 40 divisors (see below), whose sum is σ = 3391576452. Its totient is φ = 565813248.

The previous prime is 1414535669. The next prime is 1414535687. The reversal of 1414535680 is 865354141.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1369592064 + 44943616 = 37008^2 + 6704^2 .

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

It is a super-2 number, since 2×14145356802 = 4001822379986124800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1414535687) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 273717 + ... + 278836.

Almost surely, 21414535680 is an apocalyptic number.

1414535680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414535680 is an abundant number, since it is smaller than the sum of its proper divisors (1977040772).

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

1414535680 is an frugal number, since it uses more digits than its factorization.

1414535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552576 (or 552560 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 1414535680 is about 37610.3134791509. The cubic root of 1414535680 is about 1122.5472634831.

The spelling of 1414535680 in words is "one billion, four hundred fourteen million, five hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 552553 1105106 2210212 2762765 4420424 5525530 8840848 11051060 17681696 22102120 35363392 44204240 70726784 88408480 141453568 176816960 282907136 353633920 707267840 1414535680