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87094434 = 23717223547
BaseRepresentation
bin1010011000011…
…11010010100010
320001212212002210
411030033102202
5134244010214
612350422550
72105201430
oct514172242
9201785083
1087094434
1145187379
1225201a56
131507558b
14b7d1d50
1579a5b59
hex530f4a2

87094434 has 64 divisors (see below), whose sum is σ = 212115456. Its totient is φ = 23272704.

The previous prime is 87094429. The next prime is 87094463. The reversal of 87094434 is 43449078.

It is a junction number, because it is equal to n+sod(n) for n = 87094392 and 87094401.

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, 158949 + ... + 159495.

It is an arithmetic number, because the mean of its divisors is an integer number (3314304).

Almost surely, 287094434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87094434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106057728).

87094434 is an abundant number, since it is smaller than the sum of its proper divisors (125021022).

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

87094434 is a wasteful number, since it uses less digits than its factorization.

87094434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799.

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 87094434 is about 9332.4398739022. The cubic root of 87094434 is about 443.2650266305.

The spelling of 87094434 in words is "eighty-seven million, ninety-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 223 238 357 446 547 669 714 1094 1338 1561 1641 3122 3282 3791 3829 4683 7582 7658 9299 9366 11373 11487 18598 22746 22974 26537 27897 53074 55794 65093 79611 121981 130186 159222 195279 243962 365943 390558 731886 853867 1707734 2073677 2561601 4147354 5123202 6221031 12442062 14515739 29031478 43547217 87094434