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87276150 = 23352134973
BaseRepresentation
bin1010011001110…
…11101001110110
320002020002101000
411030323221312
5134320314100
612354344130
72106556263
oct514735166
9202202330
1087276150
11452a0955
122528b046
131510a1c0
14b83c26a
1579de900
hex533ba76

87276150 has 96 divisors (see below), whose sum is σ = 259045920. Its totient is φ = 21479040.

The previous prime is 87276127. The next prime is 87276157. The reversal of 87276150 is 5167278.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87276157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15064 + ... + 20036.

It is an arithmetic number, because the mean of its divisors is an integer number (2698395).

Almost surely, 287276150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87276150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129522960).

87276150 is an abundant number, since it is smaller than the sum of its proper divisors (171769770).

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

87276150 is a wasteful number, since it uses less digits than its factorization.

87276150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007 (or 4996 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 87276150 is about 9342.1705186750. The cubic root of 87276150 is about 443.5730922146.

The spelling of 87276150 in words is "eighty-seven million, two hundred seventy-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 90 117 130 135 150 195 225 234 270 325 351 390 450 585 650 675 702 975 1170 1350 1755 1950 2925 3510 4973 5850 8775 9946 14919 17550 24865 29838 44757 49730 64649 74595 89514 124325 129298 134271 149190 193947 223785 248650 268542 323245 372975 387894 447570 581841 646490 671355 745950 969735 1118925 1163682 1342710 1616225 1745523 1939470 2237850 2909205 3232450 3356775 3491046 4848675 5818410 6713550 8727615 9697350 14546025 17455230 29092050 43638075 87276150