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87729740 = 22571095749
BaseRepresentation
bin1010011101010…
…10011001001100
320010002010120122
411032222121030
5134424322430
612412204112
72113455560
oct516523114
9203063518
1087729740
114558071a
1225469638
13152387b7
14b9196a0
157a7dee5
hex53aa64c

87729740 has 48 divisors (see below), whose sum is σ = 212520000. Its totient is φ = 29797632.

The previous prime is 87729667. The next prime is 87729749. The reversal of 87729740 is 4792778.

It is a junction number, because it is equal to n+sod(n) for n = 87729691 and 87729700.

It is not an unprimeable number, because it can be changed into a prime (87729749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12386 + ... + 18134.

It is an arithmetic number, because the mean of its divisors is an integer number (4427500).

Almost surely, 287729740 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 87729740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106260000).

87729740 is an abundant number, since it is smaller than the sum of its proper divisors (124790260).

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

87729740 is a wasteful number, since it uses less digits than its factorization.

87729740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 44.

The square root of 87729740 is about 9366.4155363725. The cubic root of 87729740 is about 444.3402081015.

The spelling of 87729740 in words is "eighty-seven million, seven hundred twenty-nine thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 109 140 218 436 545 763 1090 1526 2180 3052 3815 5749 7630 11498 15260 22996 28745 40243 57490 80486 114980 160972 201215 402430 626641 804860 1253282 2506564 3133205 4386487 6266410 8772974 12532820 17545948 21932435 43864870 87729740