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86423680 = 2757101191
BaseRepresentation
bin1010010011010…
…11100010000000
320000121210000001
411021223202000
5134111024210
612324205344
72066406040
oct511534200
9200553001
1086423680
1144869432
1224b39854
1314b9c195
14b699720
1578c203a
hex526b880

86423680 has 128 divisors (see below), whose sum is σ = 239708160. Its totient is φ = 29184000.

The previous prime is 86423677. The next prime is 86423681. The reversal of 86423680 is 8632468.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (86423681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452385 + ... + 452575.

It is an arithmetic number, because the mean of its divisors is an integer number (1872720).

Almost surely, 286423680 is an apocalyptic number.

86423680 is a gapful number since it is divisible by the number (80) 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 86423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119854080).

86423680 is an abundant number, since it is smaller than the sum of its proper divisors (153284480).

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

86423680 is a wasteful number, since it uses less digits than its factorization.

86423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 86423680 is about 9296.4337248216. The cubic root of 86423680 is about 442.1241640485.

The spelling of 86423680 in words is "eighty-six million, four hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 101 112 128 140 160 191 202 224 280 320 382 404 448 505 560 640 707 764 808 896 955 1010 1120 1337 1414 1528 1616 1910 2020 2240 2674 2828 3056 3232 3535 3820 4040 4480 5348 5656 6112 6464 6685 7070 7640 8080 10696 11312 12224 12928 13370 14140 15280 16160 19291 21392 22624 24448 26740 28280 30560 32320 38582 42784 45248 53480 56560 61120 64640 77164 85568 90496 96455 106960 113120 122240 135037 154328 171136 192910 213920 226240 270074 308656 385820 427840 452480 540148 617312 675185 771640 855680 1080296 1234624 1350370 1543280 2160592 2469248 2700740 3086560 4321184 5401480 6173120 8642368 10802960 12346240 17284736 21605920 43211840 86423680