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85158780 = 223571711927
BaseRepresentation
bin1010001001101…
…10101101111100
312221020111212220
411010312231330
5133300040110
612241125340
72052560220
oct504665574
9187214786
1085158780
1144085063
1224629850
1314848515
14b44a780
157722370
hex5136b7c

85158780 has 96 divisors (see below), whose sum is σ = 288562176. Its totient is φ = 18318336.

The previous prime is 85158743. The next prime is 85158781. The reversal of 85158780 is 8785158.

It is a super-2 number, since 2×851587802 = 14504035622176800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85158781) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1177 + ... + 13103.

It is an arithmetic number, because the mean of its divisors is an integer number (3005856).

Almost surely, 285158780 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 85158780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144281088).

85158780 is an abundant number, since it is smaller than the sum of its proper divisors (203403396).

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

85158780 is a wasteful number, since it uses less digits than its factorization.

85158780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11963 (or 11961 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 42.

The square root of 85158780 is about 9228.1514942051. The cubic root of 85158780 is about 439.9565728490.

The spelling of 85158780 in words is "eighty-five million, one hundred fifty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 11927 23854 35781 47708 59635 71562 83489 119270 143124 166978 178905 202759 238540 250467 333956 357810 405518 417445 500934 608277 715620 811036 834890 1001868 1013795 1216554 1252335 1419313 1669780 2027590 2433108 2504670 2838626 3041385 4055180 4257939 5009340 5677252 6082770 7096565 8515878 12165540 14193130 17031756 21289695 28386260 42579390 85158780