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1968150420 = 223354384761
BaseRepresentation
bin111010101001111…
…1001011110010100
312002011102101211000
41311103321132110
513012321303140
6523144143300
766526000605
oct16523713624
95064371730
101968150420
1191aa735a5
1246b167b30
132549a5562
14149567dac
15b7bc0a30
hex754f9794

1968150420 has 96 divisors (see below), whose sum is σ = 6265607040. Its totient is φ = 512628480.

The previous prime is 1968150391. The next prime is 1968150479. The reversal of 1968150420 is 240518691.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19161 + ... + 65600.

It is an arithmetic number, because the mean of its divisors is an integer number (65266740).

Almost surely, 21968150420 is an apocalyptic number.

1968150420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1968150420 is an abundant number, since it is smaller than the sum of its proper divisors (4297456620).

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

1968150420 is a wasteful number, since it uses less digits than its factorization.

1968150420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84822 (or 84814 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1968150420 is about 44363.8413575741. The cubic root of 1968150420 is about 1253.1972380958.

The spelling of 1968150420 in words is "one billion, nine hundred sixty-eight million, one hundred fifty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 516 540 645 774 860 1161 1290 1548 1935 2322 2580 3870 4644 5805 7740 11610 23220 84761 169522 254283 339044 423805 508566 762849 847610 1017132 1271415 1525698 1695220 2288547 2542830 3051396 3644723 3814245 4577094 5085660 7289446 7628490 9154188 10934169 11442735 14578892 15256980 18223615 21868338 22885470 32802507 36447230 43736676 45770940 54670845 65605014 72894460 98407521 109341690 131210028 164012535 196815042 218683380 328025070 393630084 492037605 656050140 984075210 1968150420