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87341632 = 2671931331
BaseRepresentation
bin1010011010010…
…11101001000000
320002100102012021
411031023221000
5134324413012
612400011224
72110251220
oct515135100
9202312167
1087341632
1145336074
1225300b14
1315130c51
14b858080
157a04007
hex534ba40

87341632 has 112 divisors (see below), whose sum is σ = 215879680. Its totient is φ = 34214400.

The previous prime is 87341629. The next prime is 87341659. The reversal of 87341632 is 23614378.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263707 + ... + 264037.

Almost surely, 287341632 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 87341632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107939840).

87341632 is an abundant number, since it is smaller than the sum of its proper divisors (128538048).

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

87341632 is a wasteful number, since it uses less digits than its factorization.

87341632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 390 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 87341632 is about 9345.6745074928. The cubic root of 87341632 is about 443.6839999176.

The spelling of 87341632 in words is "eighty-seven million, three hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 64 76 112 124 133 152 217 224 248 266 304 331 434 448 496 532 589 608 662 868 992 1064 1178 1216 1324 1736 1984 2128 2317 2356 2648 3472 4123 4256 4634 4712 5296 6289 6944 8246 8512 9268 9424 10261 10592 12578 13888 16492 18536 18848 20522 21184 25156 32984 37072 37696 41044 44023 50312 65968 71827 74144 82088 88046 100624 131936 143654 148288 164176 176092 194959 201248 263872 287308 328352 352184 389918 402496 574616 656704 704368 779836 1149232 1364713 1408736 1559672 2298464 2729426 2817472 3119344 4596928 5458852 6238688 10917704 12477376 21835408 43670816 87341632