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2016431680 = 26543146543
BaseRepresentation
bin111100000110000…
…0100111001000000
312012112021100020211
41320030010321000
513112201303210
6532031043504
7100653246364
oct17014047100
95175240224
102016431680
1194524aa6a
12483370594
132619ab553
14151b352a4
15bc05b38a
hex78304e40

2016431680 has 56 divisors (see below), whose sum is σ = 4913327232. Its totient is φ = 787809792.

The previous prime is 2016431671. The next prime is 2016431687. The reversal of 2016431680 is 861346102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2016431687) 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 7 ways as a sum of consecutive naturals, for example, 59512 + ... + 87031.

Almost surely, 22016431680 is an apocalyptic number.

2016431680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2016431680 is an abundant number, since it is smaller than the sum of its proper divisors (2896895552).

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

2016431680 is a wasteful number, since it uses less digits than its factorization.

2016431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146603 (or 146593 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2016431680 is about 44904.6955228515. The cubic root of 2016431680 is about 1263.3620799651.

Adding to 2016431680 its reverse (861346102), we get a palindrome (2877777782).

The spelling of 2016431680 in words is "two billion, sixteen million, four hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 860 1376 1720 2752 3440 6880 13760 146543 293086 586172 732715 1172344 1465430 2344688 2930860 4689376 5861720 6301349 9378752 11723440 12602698 23446880 25205396 31506745 46893760 50410792 63013490 100821584 126026980 201643168 252053960 403286336 504107920 1008215840 2016431680