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1966134960 = 243252730743
BaseRepresentation
bin111010100110000…
…1101011010110000
312002000122000010100
41311030031122300
513011312304320
6523033032400
766502604616
oct16514153260
95060560110
101966134960
11919917329
1246a555700
1325444b08a
141491a16b6
15b7923790
hex7530d6b0

1966134960 has 60 divisors (see below), whose sum is σ = 6602938992. Its totient is φ = 524302464.

The previous prime is 1966134943. The next prime is 1966134997. The reversal of 1966134960 is 694316691.

1966134960 is a `hidden beast` number, since 196 + 61 + 349 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 1364652 + ... + 1366091.

Almost surely, 21966134960 is an apocalyptic number.

1966134960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1966134960 is an abundant number, since it is smaller than the sum of its proper divisors (4636804032).

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

1966134960 is a wasteful number, since it uses less digits than its factorization.

1966134960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730762 (or 2730753 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1966134960 is about 44341.1204188618. The cubic root of 1966134960 is about 1252.7693183034.

The spelling of 1966134960 in words is "one billion, nine hundred sixty-six million, one hundred thirty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2730743 5461486 8192229 10922972 13653715 16384458 21845944 24576687 27307430 32768916 40961145 43691888 49153374 54614860 65537832 81922290 98306748 109229720 122883435 131075664 163844580 196613496 218459440 245766870 327689160 393226992 491533740 655378320 983067480 1966134960