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87125430 = 235738467
BaseRepresentation
bin1010011000101…
…10110110110110
320001221102121210
411030112312312
5134301003210
612351222250
72105361000
oct514266666
9201842553
1087125430
11451a8697
1225217986
1315086712
14b7dd370
1579aee20
hex5316db6

87125430 has 64 divisors (see below), whose sum is σ = 243878400. Its totient is φ = 19912032.

The previous prime is 87125419. The next prime is 87125443. The reversal of 87125430 is 3452178.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 6057 + ... + 14523.

It is an arithmetic number, because the mean of its divisors is an integer number (3810600).

Almost surely, 287125430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87125430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121939200).

87125430 is an abundant number, since it is smaller than the sum of its proper divisors (156752970).

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

87125430 is a wasteful number, since it uses less digits than its factorization.

87125430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8498 (or 8484 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 87125430 is about 9334.1003851469. The cubic root of 87125430 is about 443.3176048590.

The spelling of 87125430 in words is "eighty-seven million, one hundred twenty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 686 735 1029 1470 1715 2058 3430 5145 8467 10290 16934 25401 42335 50802 59269 84670 118538 127005 177807 254010 296345 355614 414883 592690 829766 889035 1244649 1778070 2074415 2489298 2904181 4148830 5808362 6223245 8712543 12446490 14520905 17425086 29041810 43562715 87125430