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87289740 = 223253371439
BaseRepresentation
bin1010011001111…
…10111110001100
320002020210000100
411030332332030
5134321232430
612354531100
72106644016
oct514767614
9202223010
1087289740
114530008a
1225296a90
1315113445
14b8431b6
1579e3960
hex533ef8c

87289740 has 72 divisors (see below), whose sum is σ = 265749120. Its totient is φ = 23192064.

The previous prime is 87289729. The next prime is 87289757. The reversal of 87289740 is 4798278.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 59941 + ... + 61379.

It is an arithmetic number, because the mean of its divisors is an integer number (3690960).

Almost surely, 287289740 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 87289740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132874560).

87289740 is an abundant number, since it is smaller than the sum of its proper divisors (178459380).

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

87289740 is a wasteful number, since it uses less digits than its factorization.

87289740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 87289740 is about 9342.8978373950. The cubic root of 87289740 is about 443.5961143326.

The spelling of 87289740 in words is "eighty-seven million, two hundred eighty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 337 674 1011 1348 1439 1685 2022 2878 3033 3370 4044 4317 5055 5756 6066 6740 7195 8634 10110 12132 12951 14390 15165 17268 20220 21585 25902 28780 30330 43170 51804 60660 64755 86340 129510 259020 484943 969886 1454829 1939772 2424715 2909658 4364487 4849430 5819316 7274145 8728974 9698860 14548290 17457948 21822435 29096580 43644870 87289740