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85970136 = 233719231171
BaseRepresentation
bin1010001111111…
…00110011011000
312222202201212010
411013330303120
5134002021021
612310345520
72062506540
oct507746330
9188681763
1085970136
11445896aa
122495b2a0
1314a70905
14b5bc320
157832976
hex51fccd8

85970136 has 128 divisors (see below), whose sum is σ = 270028800. Its totient is φ = 22239360.

The previous prime is 85970119. The next prime is 85970149. The reversal of 85970136 is 63107958.

It is a junction number, because it is equal to n+sod(n) for n = 85970094 and 85970103.

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, 72831 + ... + 74001.

It is an arithmetic number, because the mean of its divisors is an integer number (2109600).

Almost surely, 285970136 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 85970136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135014400).

85970136 is an abundant number, since it is smaller than the sum of its proper divisors (184058664).

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

85970136 is a wasteful number, since it uses less digits than its factorization.

85970136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 85970136 is about 9272.0081967177. The cubic root of 85970136 is about 441.3493973661.

The spelling of 85970136 in words is "eighty-five million, nine hundred seventy thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 23 24 28 38 42 46 56 57 69 76 84 92 114 133 138 152 161 168 184 228 266 276 322 399 437 456 483 532 552 644 798 874 966 1064 1171 1288 1311 1596 1748 1932 2342 2622 3059 3192 3496 3513 3864 4684 5244 6118 7026 8197 9177 9368 10488 12236 14052 16394 18354 22249 24472 24591 26933 28104 32788 36708 44498 49182 53866 65576 66747 73416 80799 88996 98364 107732 133494 155743 161598 177992 188531 196728 215464 266988 311486 323196 377062 467229 511727 533976 565593 622972 646392 754124 934458 1023454 1131186 1245944 1508248 1535181 1868916 2046908 2262372 3070362 3582089 3737832 4093816 4524744 6140724 7164178 10746267 12281448 14328356 21492534 28656712 42985068 85970136