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1207020672 = 2732111317431
BaseRepresentation
bin100011111110001…
…1010110010000000
310010010020000002100
41013330122302000
54432444130142
6315434350400
741624335464
oct10774326200
93103200070
101207020672
1156a371550
1229828b400
131630b1c20
14b643a4a4
1570e75b4c
hex47f1ac80

1207020672 has 384 divisors, whose sum is σ = 4330609920. Its totient is φ = 317030400.

The previous prime is 1207020653. The next prime is 1207020739. The reversal of 1207020672 is 2760207021.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2800297 + ... + 2800727.

It is an arithmetic number, because the mean of its divisors is an integer number (11277630).

Almost surely, 21207020672 is an apocalyptic number.

1207020672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1207020672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165304960).

1207020672 is an abundant number, since it is smaller than the sum of its proper divisors (3123589248).

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

1207020672 is a wasteful number, since it uses less digits than its factorization.

1207020672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1207020672 is about 34742.2030389554. The cubic root of 1207020672 is about 1064.7269233078.

Adding to 1207020672 its reverse (2760207021), we get a palindrome (3967227693).

The spelling of 1207020672 in words is "one billion, two hundred seven million, twenty thousand, six hundred seventy-two".