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1680714972 = 2232233165479
BaseRepresentation
bin110010000101101…
…1010110011011100
311100010120011111200
41210023122303130
511420230334342
6434435315500
756435561436
oct14413326334
94303504450
101680714972
117927a1042
123aaa4bb90
1320a286701
1411d305656
159c84494c
hex642dacdc

1680714972 has 72 divisors (see below), whose sum is σ = 4576266240. Its totient is φ = 518585760.

The previous prime is 1680714953. The next prime is 1680715031. The reversal of 1680714972 is 2794170861.

It is a happy number.

1680714972 is a `hidden beast` number, since 16 + 80 + 71 + 497 + 2 = 666.

1680714972 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7072 + ... + 58407.

Almost surely, 21680714972 is an apocalyptic number.

1680714972 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 1680714972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288133120).

1680714972 is an abundant number, since it is smaller than the sum of its proper divisors (2895551268).

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

1680714972 is a wasteful number, since it uses less digits than its factorization.

1680714972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65543 (or 65538 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1680714972 is about 40996.5239014236. The cubic root of 1680714972 is about 1188.9530070226.

The spelling of 1680714972 in words is "one billion, six hundred eighty million, seven hundred fourteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 372 414 558 713 828 1116 1426 2139 2852 4278 6417 8556 12834 25668 65479 130958 196437 261916 392874 589311 785748 1178622 1506017 2029849 2357244 3012034 4059698 4518051 6024068 6089547 8119396 9036102 12179094 13554153 18072204 18268641 24358188 27108306 36537282 46686527 54216612 73074564 93373054 140059581 186746108 280119162 420178743 560238324 840357486 1680714972