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1979115930 = 235511253127
BaseRepresentation
bin111010111110110…
…1110100110011010
312002221001111200000
41311331232212122
513023123202210
6524215153430
7100021131201
oct16575564632
95087044600
101979115930
11926183100
12472975876
1325704471c
1414abc0238
15b8b39ac0
hex75f6e99a

1979115930 has 288 divisors, whose sum is σ = 6023227392. Its totient is φ = 467026560.

The previous prime is 1979115923. The next prime is 1979115953. The reversal of 1979115930 is 395119791.

It is a happy number.

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 143 ways as a sum of consecutive naturals, for example, 15583527 + ... + 15583653.

It is an arithmetic number, because the mean of its divisors is an integer number (20913984).

Almost surely, 21979115930 is an apocalyptic number.

1979115930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1979115930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011613696).

1979115930 is an abundant number, since it is smaller than the sum of its proper divisors (4044111462).

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

1979115930 is a wasteful number, since it uses less digits than its factorization.

1979115930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 76545, while the sum is 45.

The square root of 1979115930 is about 44487.2558155704. The cubic root of 1979115930 is about 1255.5203167278.

It can be divided in two parts, 197911 and 5930, that added together give a triangular number (203841 = T638).

The spelling of 1979115930 in words is "one billion, nine hundred seventy-nine million, one hundred fifteen thousand, nine hundred thirty".