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1977000116 = 2271315135969
BaseRepresentation
bin111010111010110…
…1010000010110100
312002210002000022112
41311311222002310
513022103000431
6524101550152
766664136510
oct16565520264
95083060275
101977000116
11924a684a3
12472115358
13256783670
1414a7cd140
15b886cc2b
hex75d6a0b4

1977000116 has 48 divisors (see below), whose sum is σ = 4286472960. Its totient is φ = 776908800.

The previous prime is 1977000083. The next prime is 1977000119. The reversal of 1977000116 is 6110007791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1977000119) 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, 36980 + ... + 72948.

It is an arithmetic number, because the mean of its divisors is an integer number (89301520).

Almost surely, 21977000116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1977000116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143236480).

1977000116 is an abundant number, since it is smaller than the sum of its proper divisors (2309472844).

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

1977000116 is a wasteful number, since it uses less digits than its factorization.

1977000116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36144 (or 36142 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 32.

The square root of 1977000116 is about 44463.4694552731. The cubic root of 1977000116 is about 1255.0727440467.

The spelling of 1977000116 in words is "one billion, nine hundred seventy-seven million, one hundred sixteen", and thus it is an aban number.

Divisors: 1 2 4 7 13 14 26 28 52 91 151 182 302 364 604 1057 1963 2114 3926 4228 7852 13741 27482 35969 54964 71938 143876 251783 467597 503566 935194 1007132 1870388 3273179 5431319 6546358 10862638 13092716 21725276 38019233 70607147 76038466 141214294 152076932 282428588 494250029 988500058 1977000116