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1370800128 = 21431672
BaseRepresentation
bin101000110110100…
…1100000000000000
310112112101212021010
41101231030000000
510301411101003
6344005000520
745653415555
oct12155140000
93475355233
101370800128
11643865475
123230b3140
1318acc6a49
14d00b0a2c
1580528003
hex51b4c000

1370800128 has 90 divisors (see below), whose sum is σ = 3677374876. Its totient is φ = 454197248.

The previous prime is 1370800121. The next prime is 1370800133. The reversal of 1370800128 is 8210080731.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1370800095 and 1370800104.

It is not an unprimeable number, because it can be changed into a prime (1370800121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8208301 + ... + 8208467.

Almost surely, 21370800128 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 1370800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838687438).

1370800128 is an abundant number, since it is smaller than the sum of its proper divisors (2306574748).

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

1370800128 is an frugal number, since it uses more digits than its factorization.

1370800128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 1370800128 is about 37024.3180625923. The cubic root of 1370800128 is about 1110.8567170605.

Adding to 1370800128 its reverse (8210080731), we get a palindrome (9580880859).

The spelling of 1370800128 in words is "one billion, three hundred seventy million, eight hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 256 334 384 501 512 668 768 1002 1024 1336 1536 2004 2048 2672 3072 4008 4096 5344 6144 8016 8192 10688 12288 16032 16384 21376 24576 27889 32064 42752 49152 55778 64128 83667 85504 111556 128256 167334 171008 223112 256512 334668 342016 446224 513024 669336 684032 892448 1026048 1338672 1368064 1784896 2052096 2677344 2736128 3569792 4104192 5354688 7139584 8208384 10709376 14279168 21418752 28558336 42837504 57116672 85675008 114233344 171350016 228466688 342700032 456933376 685400064 1370800128