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1349295150 = 235273141453
BaseRepresentation
bin101000001101100…
…1001110000101110
310111000221021222110
41100123021300232
510230404421100
6341520024450
745302551050
oct12033116056
93430837873
101349295150
11632707465
12317a62126
131867075c8
14cb2b38d0
157d6cb250
hex506c9c2e

1349295150 has 96 divisors (see below), whose sum is σ = 3947747328. Its totient is φ = 298454400.

The previous prime is 1349295137. The next prime is 1349295187. The reversal of 1349295150 is 515929431.

It is a junction number, because it is equal to n+sod(n) for n = 1349295099 and 1349295108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11824 + ... + 53276.

It is an arithmetic number, because the mean of its divisors is an integer number (41122368).

Almost surely, 21349295150 is an apocalyptic number.

1349295150 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 1349295150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973873664).

1349295150 is an abundant number, since it is smaller than the sum of its proper divisors (2598452178).

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

1349295150 is a wasteful number, since it uses less digits than its factorization.

1349295150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41506 (or 41501 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 1349295150 is about 36732.7530958408. The cubic root of 1349295150 is about 1105.0170687289.

The spelling of 1349295150 in words is "one billion, three hundred forty-nine million, two hundred ninety-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 31 35 42 50 62 70 75 93 105 150 155 175 186 210 217 310 350 434 465 525 651 775 930 1050 1085 1302 1550 2170 2325 3255 4650 5425 6510 10850 16275 32550 41453 82906 124359 207265 248718 290171 414530 580342 621795 870513 1036325 1243590 1285043 1450855 1741026 2072650 2570086 2901710 3108975 3855129 4352565 6217950 6425215 7254275 7710258 8705130 8995301 12850430 14508550 17990602 19275645 21762825 26985903 32126075 38551290 43525650 44976505 53971806 64252150 89953010 96378225 134929515 192756450 224882525 269859030 449765050 674647575 1349295150