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1229903680 = 26537109953
BaseRepresentation
bin100100101001110…
…1101011101000000
310011201021120200011
41021103231131000
510004323404210
6322013034304
742323003005
oct11123553500
93151246604
101229903680
11581280925
122a3a85994
13167a64675
14b94b58ac
1572e95d8a
hex494ed740

1229903680 has 112 divisors (see below), whose sum is σ = 3038642640. Its totient is φ = 473776128.

The previous prime is 1229903671. The next prime is 1229903681. The reversal of 1229903680 is 863099221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 56430144 + 1173473536 = 7512^2 + 34256^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1229903681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1290084 + ... + 1291036.

Almost surely, 21229903680 is an apocalyptic number.

1229903680 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 1229903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519321320).

1229903680 is an abundant number, since it is smaller than the sum of its proper divisors (1808738960).

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

1229903680 is a wasteful number, since it uses less digits than its factorization.

1229903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 1229903680 is about 35069.9826062118. The cubic root of 1229903680 is about 1071.4133011496.

The spelling of 1229903680 in words is "one billion, two hundred twenty-nine million, nine hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 109 148 160 185 218 296 320 370 436 545 592 740 872 953 1090 1184 1480 1744 1906 2180 2368 2960 3488 3812 4033 4360 4765 5920 6976 7624 8066 8720 9530 11840 15248 16132 17440 19060 20165 30496 32264 34880 35261 38120 40330 60992 64528 70522 76240 80660 103877 129056 141044 152480 161320 176305 207754 258112 282088 304960 322640 352610 415508 519385 564176 645280 705220 831016 1038770 1128352 1290560 1410440 1662032 2077540 2256704 2820880 3324064 3843449 4155080 5641760 6648128 7686898 8310160 11283520 15373796 16620320 19217245 30747592 33240640 38434490 61495184 76868980 122990368 153737960 245980736 307475920 614951840 1229903680