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1229372040 = 2335136112919
BaseRepresentation
bin100100101000110…
…1011101010001000
310011200021120101210
41021101223222020
510004204401130
6321553413120
742315330021
oct11121535210
93150246353
101229372040
11580a48456
122a386a1a0
131679096a0
14b93b7c48
1572ddd5b0
hex4946ba88

1229372040 has 128 divisors (see below), whose sum is σ = 4037241600. Its totient is φ = 297630720.

The previous prime is 1229372033. The next prime is 1229372059. The reversal of 1229372040 is 402739221.

It is a super-2 number, since 2×12293720402 = 3022711225467523200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1229371989 and 1229372007.

It is an unprimeable number.

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, 88701 + ... + 101619.

It is an arithmetic number, because the mean of its divisors is an integer number (31540950).

Almost surely, 21229372040 is an apocalyptic number.

1229372040 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 1229372040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018620800).

1229372040 is an abundant number, since it is smaller than the sum of its proper divisors (2807869560).

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

1229372040 is a wasteful number, since it uses less digits than its factorization.

1229372040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13007 (or 13003 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1229372040 is about 35062.4020854248. The cubic root of 1229372040 is about 1071.2589019964.

The spelling of 1229372040 in words is "one billion, two hundred twenty-nine million, three hundred seventy-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 61 65 78 104 120 122 130 156 183 195 244 260 305 312 366 390 488 520 610 732 780 793 915 1220 1464 1560 1586 1830 2379 2440 3172 3660 3965 4758 6344 7320 7930 9516 11895 12919 15860 19032 23790 25838 31720 38757 47580 51676 64595 77514 95160 103352 129190 155028 167947 193785 258380 310056 335894 387570 503841 516760 671788 775140 788059 839735 1007682 1343576 1550280 1576118 1679470 2015364 2364177 2519205 3152236 3358940 3940295 4030728 4728354 5038410 6304472 6717880 7880590 9456708 10076820 10244767 11820885 15761180 18913416 20153640 20489534 23641770 30734301 31522360 40979068 47283540 51223835 61468602 81958136 94567080 102447670 122937204 153671505 204895340 245874408 307343010 409790680 614686020 1229372040