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1319952 = 243107257
BaseRepresentation
bin101000010010000010000
32111001122010
411002100100
5314214302
644142520
714135154
oct5022020
92431563
101319952
11821777
12537a40
13372a4a
14265064
151b116c
hex142410

1319952 has 40 divisors (see below), whose sum is σ = 3455136. Its totient is φ = 434176.

The previous prime is 1319951. The next prime is 1319963. The reversal of 1319952 is 2599131.

It is not an unprimeable number, because it can be changed into a prime (1319951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5008 + ... + 5264.

21319952 is an apocalyptic number.

1319952 is a gapful number since it is divisible by the number (12) 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 1319952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727568).

1319952 is an abundant number, since it is smaller than the sum of its proper divisors (2135184).

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

1319952 is a wasteful number, since it uses less digits than its factorization.

1319952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 369 counting only the distinct ones).

The product of its digits is 2430, while the sum is 30.

The square root of 1319952 is about 1148.8916397990. The cubic root of 1319952 is about 109.6948013825.

The spelling of 1319952 in words is "one million, three hundred nineteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 257 321 428 514 642 771 856 1028 1284 1542 1712 2056 2568 3084 4112 5136 6168 12336 27499 54998 82497 109996 164994 219992 329988 439984 659976 1319952