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1351324460 = 225196197601
BaseRepresentation
bin101000010001011…
…1001001100101100
310111011202101200002
41100202321030230
510231414340320
6342031323432
745326032313
oct12042711454
93434671602
101351324460
11633873082
12318680578
13186c68195
14cb68127a
157d97c675
hex508b932c

1351324460 has 96 divisors (see below), whose sum is σ = 3072511680. Its totient is φ = 497664000.

The previous prime is 1351324409. The next prime is 1351324463. The reversal of 1351324460 is 644231531.

It is not an unprimeable number, because it can be changed into a prime (1351324463) 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 31 ways as a sum of consecutive naturals, for example, 2248160 + ... + 2248760.

It is an arithmetic number, because the mean of its divisors is an integer number (32005330).

Almost surely, 21351324460 is an apocalyptic number.

1351324460 is a gapful number since it is divisible by the number (10) 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 1351324460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536255840).

1351324460 is an abundant number, since it is smaller than the sum of its proper divisors (1721187220).

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

1351324460 is a wasteful number, since it uses less digits than its factorization.

1351324460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 1351324460 is about 36760.3653409484. The cubic root of 1351324460 is about 1105.5707649660.

Adding to 1351324460 its reverse (644231531), we get a palindrome (1995555991).

It can be divided in two parts, 13513 and 24460, that added together give a palindrome (37973).

The spelling of 1351324460 in words is "one billion, three hundred fifty-one million, three hundred twenty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 61 76 95 97 122 190 194 244 305 380 388 485 601 610 970 1159 1202 1220 1843 1940 2318 2404 3005 3686 4636 5795 5917 6010 7372 9215 11419 11590 11834 12020 18430 22838 23180 23668 29585 36661 36860 45676 57095 58297 59170 73322 112423 114190 116594 118340 146644 183305 224846 228380 233188 291485 366610 449692 562115 582970 696559 733220 1107643 1124230 1165940 1393118 2215286 2248460 2786236 3482795 3556117 4430572 5538215 6965590 7112234 11076430 13931180 14224468 17780585 22152860 35561170 67566223 71122340 135132446 270264892 337831115 675662230 1351324460