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1966148730 = 2325713431557
BaseRepresentation
bin111010100110001…
…0000110001111010
312002000122201000100
41311030100301322
513011313224410
6523033220230
766502663020
oct16514206172
95060581010
101966148730
11919926707
1246a561676
13254454420
141491a6710
15b79278c0
hex75310c7a

1966148730 has 192 divisors, whose sum is σ = 6317595648. Its totient is φ = 413130240.

The previous prime is 1966148713. The next prime is 1966148731. The reversal of 1966148730 is 378416691.

It is a happy number.

It is a super-2 number, since 2×19661487302 = 7731481656961225800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1966148731) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3529612 + ... + 3530168.

It is an arithmetic number, because the mean of its divisors is an integer number (32904144).

Almost surely, 21966148730 is an apocalyptic number.

1966148730 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 1966148730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158797824).

1966148730 is an abundant number, since it is smaller than the sum of its proper divisors (4351446918).

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

1966148730 is a wasteful number, since it uses less digits than its factorization.

1966148730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1966148730 is about 44341.2756920682. The cubic root of 1966148730 is about 1252.7722429235.

The spelling of 1966148730 in words is "one billion, nine hundred sixty-six million, one hundred forty-eight thousand, seven hundred thirty".