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87476130 = 23257236037
BaseRepresentation
bin1010011011011…
…00011110100010
320002121020200200
411031230132202
5134343214010
612402530030
72111351310
oct515543642
9202536620
1087476130
1145418125
1225366916
131517a231
14b8910b0
157a2dcc0
hex536c7a2

87476130 has 96 divisors (see below), whose sum is σ = 271275264. Its totient is φ = 19122048.

The previous prime is 87476117. The next prime is 87476131. The reversal of 87476130 is 3167478.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87476131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11472 + ... + 17508.

It is an arithmetic number, because the mean of its divisors is an integer number (2825784).

Almost surely, 287476130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87476130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135637632).

87476130 is an abundant number, since it is smaller than the sum of its proper divisors (183799134).

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

87476130 is a wasteful number, since it uses less digits than its factorization.

87476130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6080 (or 6077 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 87476130 is about 9352.8674747374. The cubic root of 87476130 is about 443.9116271645.

The spelling of 87476130 in words is "eighty-seven million, four hundred seventy-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 63 69 70 90 105 115 126 138 161 207 210 230 315 322 345 414 483 630 690 805 966 1035 1449 1610 2070 2415 2898 4830 6037 7245 12074 14490 18111 30185 36222 42259 54333 60370 84518 90555 108666 126777 138851 181110 211295 253554 271665 277702 380331 416553 422590 543330 633885 694255 760662 833106 971957 1249659 1267770 1388510 1901655 1943914 2082765 2499318 2915871 3803310 4165530 4859785 5831742 6248295 8747613 9719570 12496590 14579355 17495226 29158710 43738065 87476130