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1680907890 = 235307182509
BaseRepresentation
bin110010000110000…
…1001111001110010
311100010220222010210
41210030021321302
511420303023030
6434443404550
756440324044
oct14414117162
94303828123
101680907890
11792912a82
123aab23756
1320a32346c
1411d355a94
159c881bb0
hex64309e72

1680907890 has 32 divisors (see below), whose sum is σ = 4047341760. Its totient is φ = 446779584.

The previous prime is 1680907871. The next prime is 1680907897. The reversal of 1680907890 is 987090861.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1680907897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82045 + ... + 100464.

It is an arithmetic number, because the mean of its divisors is an integer number (126479430).

Almost surely, 21680907890 is an apocalyptic number.

1680907890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1680907890 is an abundant number, since it is smaller than the sum of its proper divisors (2366433870).

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

1680907890 is a wasteful number, since it uses less digits than its factorization.

1680907890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182826.

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 1680907890 is about 40998.8766919290. The cubic root of 1680907890 is about 1188.9984959295.

The spelling of 1680907890 in words is "one billion, six hundred eighty million, nine hundred seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 307 614 921 1535 1842 3070 4605 9210 182509 365018 547527 912545 1095054 1825090 2737635 5475270 56030263 112060526 168090789 280151315 336181578 560302630 840453945 1680907890