Search a number
-
+
86701920 = 2535180629
BaseRepresentation
bin1010010101011…
…11011101100000
320001010220200020
411022233131200
5134143430140
612334153440
72101645164
oct512573540
9201126606
1086701920
1144a39488
1225052880
1314c68a16
14b72cca4
1579296d0
hex52af760

86701920 has 48 divisors (see below), whose sum is σ = 273112560. Its totient is φ = 23120384.

The previous prime is 86701913. The next prime is 86701933. The reversal of 86701920 is 2910768.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89835 + ... + 90794.

It is an arithmetic number, because the mean of its divisors is an integer number (5689845).

Almost surely, 286701920 is an apocalyptic number.

86701920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86701920 is an abundant number, since it is smaller than the sum of its proper divisors (186410640).

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

86701920 is a wasteful number, since it uses less digits than its factorization.

86701920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180647 (or 180639 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 86701920 is about 9311.3865777337. The cubic root of 86701920 is about 442.5981269183.

It can be divided in two parts, 8670 and 1920, that multiplied together give a square (16646400 = 40802).

The spelling of 86701920 in words is "eighty-six million, seven hundred one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 180629 361258 541887 722516 903145 1083774 1445032 1806290 2167548 2709435 2890064 3612580 4335096 5418870 5780128 7225160 8670192 10837740 14450320 17340384 21675480 28900640 43350960 86701920