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1966614930 = 233573972621
BaseRepresentation
bin111010100111000…
…0010100110010010
312002001112101112000
41311032002212102
513011423134210
6523051214430
766506644140
oct16516024622
95061471460
101966614930
1191a1149a5
1246a747416
13254588697
14149288590
15b79baac0
hex75382992

1966614930 has 128 divisors (see below), whose sum is σ = 6010882560. Its totient is φ = 448208640.

The previous prime is 1966614919. The next prime is 1966614941. The reversal of 1966614930 is 394166691.

1966614930 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1966614919) and next prime (1966614941).

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 63 ways as a sum of consecutive naturals, for example, 749020 + ... + 751640.

It is an arithmetic number, because the mean of its divisors is an integer number (46960020).

Almost surely, 21966614930 is an apocalyptic number.

1966614930 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 1966614930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005441280).

1966614930 is an abundant number, since it is smaller than the sum of its proper divisors (4044267630).

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

1966614930 is a wasteful number, since it uses less digits than its factorization.

1966614930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3041 (or 3035 counting only the distinct ones).

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

The square root of 1966614930 is about 44346.5323334305. The cubic root of 1966614930 is about 1252.8712514158.

It can be divided in two parts, 19666 and 14930, that added together give a square (34596 = 1862).

The spelling of 1966614930 in words is "one billion, nine hundred sixty-six million, six hundred fourteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 397 630 794 945 1191 1890 1985 2382 2621 2779 3573 3970 5242 5558 5955 7146 7863 8337 10719 11910 13105 13895 15726 16674 17865 18347 21438 23589 25011 26210 27790 35730 36694 39315 41685 47178 50022 53595 55041 70767 75033 78630 83370 91735 107190 110082 117945 125055 141534 150066 165123 183470 235890 250110 275205 330246 353835 375165 495369 550410 707670 750330 825615 990738 1040537 1651230 2081074 2476845 3121611 4953690 5202685 6243222 7283759 9364833 10405370 14567518 15608055 18729666 21851277 28094499 31216110 36418795 43702554 46824165 56188998 65553831 72837590 93648330 109256385 131107662 140472495 196661493 218512770 280944990 327769155 393322986 655538310 983307465 1966614930