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986013696 = 213353757
BaseRepresentation
bin111010110001010…
…110000000000000
32112201100200111210
4322301112000000
54004404414241
6241501410120
733301656333
oct7261260000
92481320453
10986013696
11466640758
12236269940
13129381075
1494d4a61a
155b86c316
hex3ac56000

986013696 has 112 divisors (see below), whose sum is σ = 2682355824. Its totient is φ = 322043904.

The previous prime is 986013671. The next prime is 986013713. The reversal of 986013696 is 696310689.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1302150 + ... + 1302906.

Almost surely, 2986013696 is an apocalyptic number.

986013696 is a gapful number since it is divisible by the number (96) 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 986013696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341177912).

986013696 is an abundant number, since it is smaller than the sum of its proper divisors (1696342128).

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

986013696 is an equidigital number, since it uses as much as digits as its factorization.

986013696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 986013696 is about 31400.8550202061. The cubic root of 986013696 is about 995.3159930007.

The spelling of 986013696 in words is "nine hundred eighty-six million, thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 757 768 848 1024 1272 1514 1536 1696 2048 2271 2544 3028 3072 3392 4096 4542 5088 6056 6144 6784 8192 9084 10176 12112 12288 13568 18168 20352 24224 24576 27136 36336 40121 40704 48448 54272 72672 80242 81408 96896 108544 120363 145344 160484 162816 193792 217088 240726 290688 320968 325632 387584 434176 481452 581376 641936 651264 775168 962904 1162752 1283872 1302528 1550336 1925808 2325504 2567744 3100672 3851616 4651008 5135488 6201344 7703232 9302016 10270976 15406464 18604032 20541952 30812928 41083904 61625856 82167808 123251712 164335616 246503424 328671232 493006848 986013696