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1965243420 = 2232572276871
BaseRepresentation
bin111010100100011…
…0011110000011100
312001221221201011100
41311020303300130
513011100242140
6523001553100
766462202440
oct16510636034
95057851140
101965243420
11919368518
1246a1a5790
132541c833a
1414900c820
15b77e9530
hex75233c1c

1965243420 has 144 divisors (see below), whose sum is σ = 6843852288. Its totient is φ = 447154560.

The previous prime is 1965243389. The next prime is 1965243431. The reversal of 1965243420 is 243425691.

It is a happy number.

1965243420 is a `hidden beast` number, since 1 + 96 + 524 + 3 + 42 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 282585 + ... + 289455.

It is an arithmetic number, because the mean of its divisors is an integer number (47526752).

Almost surely, 21965243420 is an apocalyptic number.

1965243420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1965243420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421926144).

1965243420 is an abundant number, since it is smaller than the sum of its proper divisors (4878608868).

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

1965243420 is a wasteful number, since it uses less digits than its factorization.

1965243420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7120 (or 7115 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1965243420 is about 44331.0660823761. The cubic root of 1965243420 is about 1252.5799344206.

The spelling of 1965243420 in words is "one billion, nine hundred sixty-five million, two hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 227 252 315 420 454 630 681 908 1135 1260 1362 1589 2043 2270 2724 3178 3405 4086 4540 4767 6356 6810 6871 7945 8172 9534 10215 13620 13742 14301 15890 19068 20430 20613 23835 27484 28602 31780 34355 40860 41226 47670 48097 57204 61839 68710 71505 82452 95340 96194 103065 123678 137420 143010 144291 192388 206130 240485 247356 286020 288582 309195 412260 432873 480970 577164 618390 721455 865746 961940 1236780 1442910 1559717 1731492 2164365 2885820 3119434 4328730 4679151 6238868 7798585 8657460 9358302 10918019 14037453 15597170 18716604 21836038 23395755 28074906 31194340 32754057 43672076 46791510 54590095 56149812 65508114 70187265 93583020 98262171 109180190 131016228 140374530 163770285 196524342 218360380 280749060 327540570 393048684 491310855 655081140 982621710 1965243420