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87696720 = 243253492
BaseRepresentation
bin1010011101000…
…10010101010000
320010000110021200
411032202111100
5134422243340
612411351200
72113260366
oct516422520
9203013250
1087696720
1145558931
1225452500
1315226767
14b90b636
157a74330
hex53a2550

87696720 has 90 divisors (see below), whose sum is σ = 295361118. Its totient is φ = 23318784.

The previous prime is 87696703. The next prime is 87696731. The reversal of 87696720 is 2769678.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 25160256 + 62536464 = 5016^2 + 7908^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

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 17 ways as a sum of consecutive naturals, for example, 251106 + ... + 251454.

Almost surely, 287696720 is an apocalyptic number.

87696720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87696720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147680559).

87696720 is an abundant number, since it is smaller than the sum of its proper divisors (207664398).

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

87696720 is a wasteful number, since it uses less digits than its factorization.

87696720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 87696720 is about 9364.6526897691. The cubic root of 87696720 is about 444.2844537099.

Multiplying 87696720 by its sum of digits (45), we get a square (3946352400 = 628202).

87696720 divided by its sum of digits (45) gives a square (1948816 = 13962).

The spelling of 87696720 in words is "eighty-seven million, six hundred ninety-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 349 360 698 720 1047 1396 1745 2094 2792 3141 3490 4188 5235 5584 6282 6980 8376 10470 12564 13960 15705 16752 20940 25128 27920 31410 41880 50256 62820 83760 121801 125640 243602 251280 365403 487204 609005 730806 974408 1096209 1218010 1461612 1827015 1948816 2192418 2436020 2923224 3654030 4384836 4872040 5481045 5846448 7308060 8769672 9744080 10962090 14616120 17539344 21924180 29232240 43848360 87696720