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87699920 = 24571123619
BaseRepresentation
bin1010011101000…
…11000111010000
320010000121200012
411032203013100
5134422344140
612411414052
72113302620
oct516430720
9203017605
1087699920
1145560280
1225454328
1315228059
14b90c880
157a75265
hex53a31d0

87699920 has 160 divisors (see below), whose sum is σ = 265697280. Its totient is φ = 26104320.

The previous prime is 87699917. The next prime is 87699929. The reversal of 87699920 is 2999678.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87699929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141371 + ... + 141989.

It is an arithmetic number, because the mean of its divisors is an integer number (1660608).

Almost surely, 287699920 is an apocalyptic number.

87699920 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 87699920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132848640).

87699920 is an abundant number, since it is smaller than the sum of its proper divisors (177997360).

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

87699920 is a wasteful number, since it uses less digits than its factorization.

87699920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 50.

The square root of 87699920 is about 9364.8235434524. The cubic root of 87699920 is about 444.2898575340.

It can be divided in two parts, 87 and 699920, that added together give a palindrome (700007).

The spelling of 87699920 in words is "eighty-seven million, six hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 23 28 35 40 44 46 55 56 70 77 80 88 92 110 112 115 140 154 161 176 184 220 230 253 280 308 322 368 385 440 460 506 560 616 619 644 770 805 880 920 1012 1232 1238 1265 1288 1540 1610 1771 1840 2024 2476 2530 2576 3080 3095 3220 3542 4048 4333 4952 5060 6160 6190 6440 6809 7084 8666 8855 9904 10120 12380 12880 13618 14168 14237 17332 17710 20240 21665 24760 27236 28336 28474 34045 34664 35420 43330 47663 49520 54472 56948 68090 69328 70840 71185 86660 95326 99659 108944 113896 136180 141680 142370 156607 173320 190652 199318 227792 238315 272360 284740 313214 346640 381304 398636 476630 498295 544720 569480 626428 762608 783035 797272 953260 996590 1096249 1138960 1252856 1566070 1594544 1906520 1993180 2192498 2505712 3132140 3813040 3986360 4384996 5481245 6264280 7972720 8769992 10962490 12528560 17539984 21924980 43849960 87699920