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87720416 = 2571920611
BaseRepresentation
bin1010011101010…
…00000111100000
320010001122210022
411032220013200
5134424023131
612412053012
72113416440
oct516500740
9203048708
1087720416
1145574713
1225464168
1315234494
14b916120
157a7b37b
hex53a81e0

87720416 has 48 divisors (see below), whose sum is σ = 207768960. Its totient is φ = 35614080.

The previous prime is 87720407. The next prime is 87720427. The reversal of 87720416 is 61402778.

It is a happy number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6050 + ... + 14561.

It is an arithmetic number, because the mean of its divisors is an integer number (4328520).

Almost surely, 287720416 is an apocalyptic number.

It is an amenable number.

87720416 is an abundant number, since it is smaller than the sum of its proper divisors (120048544).

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

87720416 is a wasteful number, since it uses less digits than its factorization.

87720416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20647 (or 20639 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 87720416 is about 9365.9177873821. The cubic root of 87720416 is about 444.3244659108.

The spelling of 87720416 in words is "eighty-seven million, seven hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 20611 41222 82444 144277 164888 288554 329776 391609 577108 659552 783218 1154216 1566436 2308432 2741263 3132872 4616864 5482526 6265744 10965052 12531488 21930104 43860208 87720416