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2014759980 = 223452322351
BaseRepresentation
bin111100000010110…
…1100110000101100
312012102010102010000
41320011230300230
513111234304410
6531531144300
7100633114542
oct17005546054
95172112100
102014759980
11944308aa2
124828a5090
1326154468c
1415181bd92
15bbd2adc0
hex7816cc2c

2014759980 has 180 divisors, whose sum is σ = 6609933792. Its totient is φ = 513691200.

The previous prime is 2014759979. The next prime is 2014759991. The reversal of 2014759980 is 899574102.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 855805 + ... + 858155.

Almost surely, 22014759980 is an apocalyptic number.

2014759980 is a gapful number since it is divisible by the number (20) 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 2014759980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304966896).

2014759980 is an abundant number, since it is smaller than the sum of its proper divisors (4595173812).

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

2014759980 is a wasteful number, since it uses less digits than its factorization.

2014759980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2014759980 is about 44886.0777970185. The cubic root of 2014759980 is about 1263.0128580678.

The spelling of 2014759980 in words is "two billion, fourteen million, seven hundred fifty-nine thousand, nine hundred eighty".