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1320037992 = 233371367157
BaseRepresentation
bin100111010101110…
…0010111001101000
310101222212212201000
41032223202321220
510200412203432
6334552555000
744466065160
oct11653427150
93358785630
101320037992
11618144099
1230a0b2a60
13180632790
14c74595a0
157ad4c57c
hex4eae2e68

1320037992 has 128 divisors (see below), whose sum is σ = 4513017600. Its totient is φ = 348136704.

The previous prime is 1320037991. The next prime is 1320037997. The reversal of 1320037992 is 2997300231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1320037991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13923 + ... + 53234.

It is an arithmetic number, because the mean of its divisors is an integer number (35257950).

Almost surely, 21320037992 is an apocalyptic number.

1320037992 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 1320037992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256508800).

1320037992 is an abundant number, since it is smaller than the sum of its proper divisors (3192979608).

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

1320037992 is a wasteful number, since it uses less digits than its factorization.

1320037992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67192 (or 67182 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 1320037992 is about 36332.3270930999. The cubic root of 1320037992 is about 1096.9718345659.

The spelling of 1320037992 in words is "one billion, three hundred twenty million, thirty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 67157 134314 201471 268628 402942 470099 537256 604413 805884 873041 940198 1208826 1410297 1611768 1746082 1813239 1880396 2417652 2619123 2820594 3492164 3626478 3760792 4230891 4835304 5238246 5641188 6111287 6984328 7252956 7857369 8461782 10476492 11282376 12222574 12692673 14505912 15714738 16923564 18333861 20952984 23572107 24445148 25385346 31429476 33847128 36667722 47144214 48890296 50770692 55001583 62858952 73335444 94288428 101541384 110003166 146670888 165004749 188576856 220006332 330009498 440012664 660018996 1320037992