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87146696 = 237413349
BaseRepresentation
bin1010011000111…
…00000011001000
320001222111210102
411030130003020
5134302143241
612351504532
72105510000
oct514340310
9201874712
1087146696
114521266a
1225228148
13150932c0
14b807000
1579b639b
hex531c0c8

87146696 has 80 divisors (see below), whose sum is σ = 205873500. Its totient is φ = 34376832.

The previous prime is 87146663. The next prime is 87146723. The reversal of 87146696 is 69664178.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 86676100 + 470596 = 9310^2 + 686^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 87146696.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 249530 + ... + 249878.

Almost surely, 287146696 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 87146696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102936750).

87146696 is an abundant number, since it is smaller than the sum of its proper divisors (118726804).

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

87146696 is a wasteful number, since it uses less digits than its factorization.

87146696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 371 counting only the distinct ones).

The product of its digits is 435456, while the sum is 47.

The square root of 87146696 is about 9335.2394720221. The cubic root of 87146696 is about 443.3536709661.

The spelling of 87146696 in words is "eighty-seven million, one hundred forty-six thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 343 349 364 392 637 686 698 728 1274 1372 1396 2401 2443 2548 2744 2792 4459 4537 4802 4886 5096 8918 9074 9604 9772 17101 17836 18148 19208 19544 31213 31759 34202 35672 36296 62426 63518 68404 119707 124852 127036 136808 222313 239414 249704 254072 444626 478828 837949 889252 957656 1556191 1675898 1778504 3112382 3351796 6224764 6703592 10893337 12449528 21786674 43573348 87146696