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1370149984 = 25727122571
BaseRepresentation
bin101000110101010…
…1101010001100000
310112111011211102201
41101222231101200
510301224244414
6343543022544
745645040240
oct12152552140
93474154381
101370149984
11643460a65
12322a3aa54
1318ab29b48
14cdd81b20
158044a574
hex51aad460

1370149984 has 48 divisors (see below), whose sum is σ = 3094350336. Its totient is φ = 585014400.

The previous prime is 1370149961. The next prime is 1370149987. The reversal of 1370149984 is 4899410731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1370149987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49419 + ... + 71989.

It is an arithmetic number, because the mean of its divisors is an integer number (64465632).

Almost surely, 21370149984 is an apocalyptic number.

1370149984 is a gapful number since it is divisible by the number (14) 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 1370149984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547175168).

1370149984 is an abundant number, since it is smaller than the sum of its proper divisors (1724200352).

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

1370149984 is a wasteful number, since it uses less digits than its factorization.

1370149984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22859 (or 22851 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The square root of 1370149984 is about 37015.5370621581. The cubic root of 1370149984 is about 1110.6810700004.

The spelling of 1370149984 in words is "one billion, three hundred seventy million, one hundred forty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 271 542 1084 1897 2168 3794 4336 7588 8672 15176 22571 30352 45142 60704 90284 157997 180568 315994 361136 631988 722272 1263976 2527952 5055904 6116741 12233482 24466964 42817187 48933928 85634374 97867856 171268748 195735712 342537496 685074992 1370149984