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30987040 = 255773379
BaseRepresentation
bin111011000110…
…1001100100000
32011022022020011
41312031030200
530413041130
63024054304
7524246140
oct166151440
964268204
1030987040
1116545027
12a464394
13655c336
144188920
152ac152a
hex1d8d320

30987040 has 96 divisors (see below), whose sum is σ = 85034880. Its totient is φ = 10450944.

The previous prime is 30987023. The next prime is 30987059. The reversal of 30987040 is 4078903.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30986993 and 30987011.

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 15 ways as a sum of consecutive naturals, for example, 81571 + ... + 81949.

It is an arithmetic number, because the mean of its divisors is an integer number (885780).

Almost surely, 230987040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30987040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42517440).

30987040 is an abundant number, since it is smaller than the sum of its proper divisors (54047840).

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

30987040 is a wasteful number, since it uses less digits than its factorization.

30987040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 30987040 is about 5566.6003988072. The cubic root of 30987040 is about 314.0942824778.

The spelling of 30987040 in words is "thirty million, nine hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 73 80 112 140 146 160 224 280 292 365 379 511 560 584 730 758 1022 1120 1168 1460 1516 1895 2044 2336 2555 2653 2920 3032 3790 4088 5110 5306 5840 6064 7580 8176 10220 10612 11680 12128 13265 15160 16352 20440 21224 26530 27667 30320 40880 42448 53060 55334 60640 81760 84896 106120 110668 138335 193669 212240 221336 276670 387338 424480 442672 553340 774676 885344 968345 1106680 1549352 1936690 2213360 3098704 3873380 4426720 6197408 7746760 15493520 30987040