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1148113590 = 2351313921179
BaseRepresentation
bin100010001101110…
…1101001010110110
32222000101012202120
41010123231022312
54322404113330
6305532020410
740310542641
oct10433551266
92860335676
101148113590
1153a097808
12280601706
13153b28570
14ac6a4a58
156abdbc10
hex446ed2b6

1148113590 has 64 divisors (see below), whose sum is σ = 2988921600. Its totient is φ = 280566144.

The previous prime is 1148113579. The next prime is 1148113597. The reversal of 1148113590 is 953118411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148113597) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43621 + ... + 64799.

It is an arithmetic number, because the mean of its divisors is an integer number (46701900).

Almost surely, 21148113590 is an apocalyptic number.

1148113590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1148113590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494460800).

1148113590 is an abundant number, since it is smaller than the sum of its proper divisors (1840808010).

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

1148113590 is a wasteful number, since it uses less digits than its factorization.

1148113590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21341.

The product of its (nonzero) digits is 4320, while the sum is 33.

The square root of 1148113590 is about 33883.8249021565. The cubic root of 1148113590 is about 1047.1163781898.

The spelling of 1148113590 in words is "one billion, one hundred forty-eight million, one hundred thirteen thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 139 195 278 390 417 695 834 1390 1807 2085 3614 4170 5421 9035 10842 18070 21179 27105 42358 54210 63537 105895 127074 211790 275327 317685 550654 635370 825981 1376635 1651962 2753270 2943881 4129905 5887762 8259810 8831643 14719405 17663286 29438810 38270453 44158215 76540906 88316430 114811359 191352265 229622718 382704530 574056795 1148113590