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1000040616 = 233213889453
BaseRepresentation
bin111011100110110…
…110100010101000
32120200202022211100
4323212312202220
54022002244431
6243122201400
733532130211
oct7346664250
92520668740
101000040616
11473551353
1223aab3260
1312c252813
1496b5c408
155cbdd4e6
hex3b9b68a8

1000040616 has 24 divisors (see below), whose sum is σ = 2708443530. Its totient is φ = 333346848.

The previous prime is 1000040599. The next prime is 1000040627. The reversal of 1000040616 is 6160400001.

1000040616 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 40 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 939667716 + 60372900 = 30654^2 + 7770^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6944655 + ... + 6944798.

Almost surely, 21000040616 is an apocalyptic number.

It is an amenable number.

1000040616 is an abundant number, since it is smaller than the sum of its proper divisors (1708402914).

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

1000040616 is a wasteful number, since it uses less digits than its factorization.

1000040616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13889465 (or 13889458 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1000040616 is about 31623.4187905103. The cubic root of 1000040616 is about 1000.0135384834.

Adding to 1000040616 its reverse (6160400001), we get a palindrome (7160440617).

The spelling of 1000040616 in words is "one billion, forty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 13889453 27778906 41668359 55557812 83336718 111115624 125005077 166673436 250010154 333346872 500020308 1000040616