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87419340 = 223252916747
BaseRepresentation
bin1010011010111…
…10100111001100
320002111100210100
411031132213030
5134334404330
612401411100
72111023611
oct515364714
9202440710
1087419340
1145389498
1225339a90
131515a428
14b878508
157a1c060
hex535e9cc

87419340 has 72 divisors (see below), whose sum is σ = 274332240. Its totient is φ = 22506624.

The previous prime is 87419333. The next prime is 87419347. The reversal of 87419340 is 4391478.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87419333) and next prime (87419347).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87419295 and 87419304.

It is not an unprimeable number, because it can be changed into a prime (87419347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3154 + ... + 13593.

It is an arithmetic number, because the mean of its divisors is an integer number (3810170).

Almost surely, 287419340 is an apocalyptic number.

It is an amenable number.

87419340 is an abundant number, since it is smaller than the sum of its proper divisors (186912900).

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

87419340 is a wasteful number, since it uses less digits than its factorization.

87419340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16791 (or 16786 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 87419340 is about 9349.8310145157. The cubic root of 87419340 is about 443.8155430529.

It can be divided in two parts, 8741 and 9340, that added together give a palindrome (18081).

The spelling of 87419340 in words is "eighty-seven million, four hundred nineteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 16747 33494 50241 66988 83735 100482 150723 167470 200964 251205 301446 334940 485663 502410 602892 753615 971326 1004820 1456989 1507230 1942652 2428315 2913978 3014460 4370967 4856630 5827956 7284945 8741934 9713260 14569890 17483868 21854835 29139780 43709670 87419340