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1966431740 = 2257213154351
BaseRepresentation
bin111010100110101…
…0101110111111100
312002001012002020012
41311031111313330
513011401303430
6523043242352
766505252100
oct16515256774
95061162205
101966431740
11919aaa2a9
1246a6793b8
132545231a0
1414923b900
15b7981695
hex75355dfc

1966431740 has 72 divisors (see below), whose sum is σ = 5173261632. Its totient is φ = 622339200.

The previous prime is 1966431707. The next prime is 1966431781. The reversal of 1966431740 is 471346691.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64436 + ... + 89915.

It is an arithmetic number, because the mean of its divisors is an integer number (71850856).

Almost surely, 21966431740 is an apocalyptic number.

1966431740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1966431740 is an abundant number, since it is smaller than the sum of its proper divisors (3206829892).

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

1966431740 is a wasteful number, since it uses less digits than its factorization.

1966431740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154387 (or 154378 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 1966431740 is about 44344.4668476237. The cubic root of 1966431740 is about 1252.8323485939.

The spelling of 1966431740 in words is "one billion, nine hundred sixty-six million, four hundred thirty-one thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 12740 154351 308702 617404 771755 1080457 1543510 2006563 2160914 3087020 4013126 4321828 5402285 7563199 8026252 10032815 10804570 14045941 15126398 20065630 21609140 28091882 30252796 37815995 40131260 56183764 70229705 75631990 98321587 140459410 151263980 196643174 280918820 393286348 491607935 983215870 1966431740