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83427960 = 23357119029
BaseRepresentation
bin1001111100100…
…00001001111000
312210222120122110
410332100021320
5132324143320
612140052320
72032061130
oct476201170
9183876573
1083427960
1143102730
1223b340a0
1314390775
14b119ac0
1574ce5e0
hex4f90278

83427960 has 128 divisors (see below), whose sum is σ = 312076800. Its totient is φ = 17333760.

The previous prime is 83427943. The next prime is 83427973. The reversal of 83427960 is 6972438.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 4726 + ... + 13754.

It is an arithmetic number, because the mean of its divisors is an integer number (2438100).

Almost surely, 283427960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83427960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156038400).

83427960 is an abundant number, since it is smaller than the sum of its proper divisors (228648840).

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

83427960 is a wasteful number, since it uses less digits than its factorization.

83427960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9061 (or 9057 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 83427960 is about 9133.8907372488. The cubic root of 83427960 is about 436.9554978447.

The spelling of 83427960 in words is "eighty-three million, four hundred twenty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9029 9240 18058 27087 36116 45145 54174 63203 72232 90290 99319 108348 126406 135435 180580 189609 198638 216696 252812 270870 297957 316015 361160 379218 397276 496595 505624 541740 595914 632030 695233 758436 794552 948045 993190 1083480 1191828 1264060 1390466 1489785 1516872 1896090 1986380 2085699 2383656 2528120 2780932 2979570 3476165 3792180 3972760 4171398 5561864 5959140 6952330 7584360 8342796 10428495 11918280 13904660 16685592 20856990 27809320 41713980 83427960