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1299194952 = 2331123321121
BaseRepresentation
bin100110101110000…
…0010010001001000
310100112122221102120
41031130002101020
510130043214302
6332530131240
744123655246
oct11534022110
93315587376
101299194952
116073a8440
12303120b20
13179215713
14c4791796
15790d19bc
hex4d702448

1299194952 has 64 divisors (see below), whose sum is σ = 3558634560. Its totient is φ = 391987200.

The previous prime is 1299194879. The next prime is 1299194957. The reversal of 1299194952 is 2594919921.

It is a junction number, because it is equal to n+sod(n) for n = 1299194895 and 1299194904.

It is not an unprimeable number, because it can be changed into a prime (1299194957) by changing a digit.

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, 50952 + ... + 72072.

It is an arithmetic number, because the mean of its divisors is an integer number (55603665).

Almost surely, 21299194952 is an apocalyptic number.

1299194952 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 1299194952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779317280).

1299194952 is an abundant number, since it is smaller than the sum of its proper divisors (2259439608).

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

1299194952 is a wasteful number, since it uses less digits than its factorization.

1299194952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21374 (or 21370 counting only the distinct ones).

The product of its digits is 524880, while the sum is 51.

The square root of 1299194952 is about 36044.3470186380. The cubic root of 1299194952 is about 1091.1675484232.

It can be divided in two parts, 1299 and 194952, that added together give a triangular number (196251 = T626).

The spelling of 1299194952 in words is "one billion, two hundred ninety-nine million, one hundred ninety-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 233 264 466 699 932 1398 1864 2563 2796 5126 5592 7689 10252 15378 20504 21121 30756 42242 61512 63363 84484 126726 168968 232331 253452 464662 506904 696993 929324 1393986 1858648 2787972 4921193 5575944 9842386 14763579 19684772 29527158 39369544 54133123 59054316 108266246 118108632 162399369 216532492 324798738 433064984 649597476 1299194952