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2070408368 = 24732913009
BaseRepresentation
bin111101101100111…
…1110110010110000
312100021211122100102
41323121332302300
513220011031433
6541240011532
7102210116000
oct17331766260
95307748312
102070408368
119727674a6
12499460ba8
1326cc29a12
14158d86000
15c1b6e4e8
hex7b67ecb0

2070408368 has 80 divisors (see below), whose sum is σ = 4839720000. Its totient is φ = 856654848.

The previous prime is 2070408367. The next prime is 2070408383. The reversal of 2070408368 is 8638040702.

It is not an unprimeable number, because it can be changed into a prime (2070408367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152648 + ... + 165656.

It is an arithmetic number, because the mean of its divisors is an integer number (60496500).

Almost surely, 22070408368 is an apocalyptic number.

2070408368 is a gapful number since it is divisible by the number (28) 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 2070408368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419860000).

2070408368 is an abundant number, since it is smaller than the sum of its proper divisors (2769311632).

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

2070408368 is a wasteful number, since it uses less digits than its factorization.

2070408368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13067 (or 13047 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 2070408368 is about 45501.7402744115. The cubic root of 2070408368 is about 1274.5357003263.

The spelling of 2070408368 in words is "two billion, seventy million, four hundred eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 343 392 406 464 686 784 812 1372 1421 1624 2744 2842 3248 5488 5684 9947 11368 13009 19894 22736 26018 39788 52036 79576 91063 104072 159152 182126 208144 364252 377261 637441 728504 754522 1274882 1457008 1509044 2549764 2640827 3018088 4462087 5099528 5281654 6036176 8924174 10199056 10563308 17848348 18485789 21126616 35696696 36971578 42253232 71393392 73943156 129400523 147886312 258801046 295772624 517602092 1035204184 2070408368