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987687390 = 235237120161
BaseRepresentation
bin111010110111101…
…110100111011110
32112211111201101110
4322313232213132
54010321444030
6242001322450
733322130034
oct7267564736
92484451343
10987687390
11467584178
12236936426
13129818b11
1495264554
155ba9d1b0
hex3adee9de

987687390 has 64 divisors (see below), whose sum is σ = 2508475392. Its totient is φ = 248371200.

The previous prime is 987687377. The next prime is 987687419. The reversal of 987687390 is 93786789.

It is a self number, because there is not a number n which added to its sum of digits gives 987687390.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38910 + ... + 59070.

It is an arithmetic number, because the mean of its divisors is an integer number (39194928).

Almost surely, 2987687390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987687390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254237696).

987687390 is an abundant number, since it is smaller than the sum of its proper divisors (1520788002).

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

987687390 is a wasteful number, since it uses less digits than its factorization.

987687390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20265.

The product of its (nonzero) digits is 4572288, while the sum is 57.

The square root of 987687390 is about 31427.4941730963. The cubic root of 987687390 is about 995.8788360053.

The spelling of 987687390 in words is "nine hundred eighty-seven million, six hundred eighty-seven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 71 115 138 142 213 230 345 355 426 690 710 1065 1633 2130 3266 4899 8165 9798 16330 20161 24495 40322 48990 60483 100805 120966 201610 302415 463703 604830 927406 1391109 1431431 2318515 2782218 2862862 4294293 4637030 6955545 7157155 8588586 13911090 14314310 21471465 32922913 42942930 65845826 98768739 164614565 197537478 329229130 493843695 987687390