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87428070 = 23251277649
BaseRepresentation
bin1010011011000…
…00101111100110
320002111210202200
411031200233212
5134340144240
612401515330
72111061222
oct515405746
9202453680
1087428070
1145395004
1225342b46
13151613b2
14b87b782
157a1e930
hex5360be6

87428070 has 48 divisors (see below), whose sum is σ = 229132800. Its totient is φ = 23127552.

The previous prime is 87428053. The next prime is 87428087. The reversal of 87428070 is 7082478.

It is an interprime number because it is at equal distance from previous prime (87428053) and next prime (87428087).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7606 + ... + 15254.

It is an arithmetic number, because the mean of its divisors is an integer number (4773600).

Almost surely, 287428070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87428070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114566400).

87428070 is an abundant number, since it is smaller than the sum of its proper divisors (141704730).

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

87428070 is a wasteful number, since it uses less digits than its factorization.

87428070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7789 (or 7786 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 87428070 is about 9350.2978562183. The cubic root of 87428070 is about 443.8303162168.

The spelling of 87428070 in words is "eighty-seven million, four hundred twenty-eight thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1143 1270 1905 2286 3810 5715 7649 11430 15298 22947 38245 45894 68841 76490 114735 137682 229470 344205 688410 971423 1942846 2914269 4857115 5828538 8742807 9714230 14571345 17485614 29142690 43714035 87428070