Search a number
-
+
1299051972 = 2233109163677
BaseRepresentation
bin100110101101101…
…1111010111000100
310100112101200022000
41031123133113010
510130024130342
6332523105300
744122521351
oct11533372704
93315350260
101299051972
1160730aa79
12303072230
1317919560a
14c4755628
15790a444c
hex4d6df5c4

1299051972 has 96 divisors (see below), whose sum is σ = 3424713600. Its totient is φ = 425782656.

The previous prime is 1299051961. The next prime is 1299052003. The reversal of 1299051972 is 2791509921.

1299051972 is a `hidden beast` number, since 129 + 9 + 0 + 519 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1918498 + ... + 1919174.

It is an arithmetic number, because the mean of its divisors is an integer number (35674100).

Almost surely, 21299051972 is an apocalyptic number.

1299051972 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 1299051972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712356800).

1299051972 is an abundant number, since it is smaller than the sum of its proper divisors (2125661628).

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

1299051972 is a wasteful number, since it uses less digits than its factorization.

1299051972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The square root of 1299051972 is about 36042.3635739944. The cubic root of 1299051972 is about 1091.1275182852.

The spelling of 1299051972 in words is "one billion, two hundred ninety-nine million, fifty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 109 163 218 326 327 436 489 652 654 677 978 981 1308 1354 1467 1956 1962 2031 2708 2934 2943 3924 4062 4401 5868 5886 6093 8124 8802 11772 12186 17604 17767 18279 24372 35534 36558 53301 71068 73116 73793 106602 110351 147586 159903 213204 220702 221379 295172 319806 331053 441404 442758 479709 639612 662106 664137 885516 959418 993159 1324212 1328274 1918836 1986318 1992411 2656548 2979477 3972636 3984822 5958954 7969644 11917908 12028259 24056518 36084777 48113036 72169554 108254331 144339108 216508662 324762993 433017324 649525986 1299051972