Search a number
-
+
1298213952 = 26377912227
BaseRepresentation
bin100110101100001…
…0010110001000000
310100110211002202020
41031120102301000
510124320321302
6332453121440
744112431220
oct11530226100
93313732666
101298213952
116068983a2
12302929280
13178c61049
14c45b8080
1578e8aebc
hex4d612c40

1298213952 has 112 divisors (see below), whose sum is σ = 3975567360. Its totient is φ = 366193152.

The previous prime is 1298213941. The next prime is 1298213981. The reversal of 1298213952 is 2593128921.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100063 + ... + 112289.

Almost surely, 21298213952 is an apocalyptic number.

1298213952 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 1298213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987783680).

1298213952 is an abundant number, since it is smaller than the sum of its proper divisors (2677353408).

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

1298213952 is a wasteful number, since it uses less digits than its factorization.

1298213952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12328 (or 12318 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 1298213952 is about 36030.7362122952. The cubic root of 1298213952 is about 1090.8928385862.

The spelling of 1298213952 in words is "one billion, two hundred ninety-eight million, two hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 158 168 192 224 237 316 336 448 474 553 632 672 948 1106 1264 1344 1659 1896 2212 2528 3318 3792 4424 5056 6636 7584 8848 12227 13272 15168 17696 24454 26544 35392 36681 48908 53088 73362 85589 97816 106176 146724 171178 195632 256767 293448 342356 391264 513534 586896 684712 782528 965933 1027068 1173792 1369424 1931866 2054136 2347584 2738848 2897799 3863732 4108272 5477696 5795598 6761531 7727464 8216544 11591196 13523062 15454928 16433088 20284593 23182392 27046124 30909856 40569186 46364784 54092248 61819712 81138372 92729568 108184496 162276744 185459136 216368992 324553488 432737984 649106976 1298213952