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1672714680 = 2335713211783
BaseRepresentation
bin110001110110011…
…1001100110111000
311022120111201011120
41203230321212320
511411203332210
6433552025240
756310561120
oct14354714670
94276451146
101672714680
1178922732a
123a8232220
13208715100
1411c221c80
159bcb4270
hex63b399b8

1672714680 has 192 divisors, whose sum is σ = 6210639360. Its totient is φ = 352894464.

The previous prime is 1672714669. The next prime is 1672714691. The reversal of 1672714680 is 864172761.

It is an interprime number because it is at equal distance from previous prime (1672714669) and next prime (1672714691).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136069 + ... + 147851.

It is an arithmetic number, because the mean of its divisors is an integer number (32347080).

Almost surely, 21672714680 is an apocalyptic number.

1672714680 is a gapful number since it is divisible by the number (10) 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 1672714680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105319680).

1672714680 is an abundant number, since it is smaller than the sum of its proper divisors (4537924680).

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

1672714680 is a wasteful number, since it uses less digits than its factorization.

1672714680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11830 (or 11813 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 1672714680 is about 40898.8347022259. The cubic root of 1672714680 is about 1187.0635127849.

The spelling of 1672714680 in words is "one billion, six hundred seventy-two million, seven hundred fourteen thousand, six hundred eighty".