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1229003040 = 25355943397
BaseRepresentation
bin100100101000001…
…0001100100100000
310011122120211020010
41021100101210200
510004111044130
6321541444520
742312232146
oct11120214440
93148524203
101229003040
115808161a1
122a3710740
1316780a745
14b931d596
1572d690b0
hex49411920

1229003040 has 96 divisors (see below), whose sum is σ = 3937066560. Its totient is φ = 322171904.

The previous prime is 1229003033. The next prime is 1229003057. The reversal of 1229003040 is 403009221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1229002998 and 1229003016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6622 + ... + 50018.

It is an arithmetic number, because the mean of its divisors is an integer number (41011110).

Almost surely, 21229003040 is an apocalyptic number.

1229003040 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 1229003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968533280).

1229003040 is an abundant number, since it is smaller than the sum of its proper divisors (2708063520).

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

1229003040 is a wasteful number, since it uses less digits than its factorization.

1229003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43474 (or 43466 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1229003040 is about 35057.1396437302. The cubic root of 1229003040 is about 1071.1517106612.

The spelling of 1229003040 in words is "one billion, two hundred twenty-nine million, three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 80 96 118 120 160 177 236 240 295 354 472 480 590 708 885 944 1180 1416 1770 1888 2360 2832 3540 4720 5664 7080 9440 14160 28320 43397 86794 130191 173588 216985 260382 347176 433970 520764 650955 694352 867940 1041528 1301910 1388704 1735880 2083056 2560423 2603820 3471760 4166112 5120846 5207640 6943520 7681269 10241692 10415280 12802115 15362538 20483384 20830560 25604230 30725076 38406345 40966768 51208460 61450152 76812690 81933536 102416920 122900304 153625380 204833840 245800608 307250760 409667680 614501520 1229003040