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86194420 = 225131719501
BaseRepresentation
bin1010010001100…
…11100011110100
320000012010111221
411020303203310
5134031210140
612315240124
72064432454
oct510634364
9200163457
1086194420
1144722164
1224a49044
1314b1ba20
14b639d64
15787914a
hex52338f4

86194420 has 48 divisors (see below), whose sum is σ = 206409168. Its totient is φ = 29952000.

The previous prime is 86194411. The next prime is 86194429. The reversal of 86194420 is 2449168.

It is an interprime number because it is at equal distance from previous prime (86194411) and next prime (86194429).

It can be written as a sum of positive squares in 8 ways, for example, as 853776 + 85340644 = 924^2 + 9238^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86194429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5331 + ... + 14170.

It is an arithmetic number, because the mean of its divisors is an integer number (4300191).

Almost surely, 286194420 is an apocalyptic number.

It is an amenable number.

86194420 is an abundant number, since it is smaller than the sum of its proper divisors (120214748).

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

86194420 is a wasteful number, since it uses less digits than its factorization.

86194420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19540 (or 19538 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 86194420 is about 9284.0950016682. The cubic root of 86194420 is about 441.7328702626.

The spelling of 86194420 in words is "eighty-six million, one hundred ninety-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 19501 39002 78004 97505 195010 253513 331517 390020 507026 663034 1014052 1267565 1326068 1657585 2535130 3315170 4309721 5070260 6630340 8619442 17238884 21548605 43097210 86194420