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987693056 = 21672153
BaseRepresentation
bin111010110111110…
…000000000000000
32112211112000011022
4322313300000000
54010322134211
6242001405012
733322152410
oct7267600000
92484460138
10987693056
11467588459
12236939768
1312981b57c
1495266640
155ba9ebdb
hex3adf0000

987693056 has 68 divisors (see below), whose sum is σ = 2258615472. Its totient is φ = 423100416.

The previous prime is 987693053. The next prime is 987693103. The reversal of 987693056 is 650396789.

It is a junction number, because it is equal to n+sod(n) for n = 987692989 and 987693007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987693053) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 457676 + ... + 459828.

Almost surely, 2987693056 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 987693056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129307736).

987693056 is an abundant number, since it is smaller than the sum of its proper divisors (1270922416).

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

987693056 is an frugal number, since it uses more digits than its factorization.

987693056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 53.

The square root of 987693056 is about 31427.5843169659. The cubic root of 987693056 is about 995.8807403321.

The spelling of 987693056 in words is "nine hundred eighty-seven million, six hundred ninety-three thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 2153 3584 4096 4306 7168 8192 8612 14336 15071 16384 17224 28672 30142 32768 34448 57344 60284 65536 68896 114688 120568 137792 229376 241136 275584 458752 482272 551168 964544 1102336 1929088 2204672 3858176 4409344 7716352 8818688 15432704 17637376 30865408 35274752 61730816 70549504 123461632 141099008 246923264 493846528 987693056