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122969340 = 22345135839
BaseRepresentation
bin1110101010001…
…01110011111100
322120101111020000
413111011303330
5222440004330
620111354300
73022136124
oct725056374
9276344200
10122969340
116345a75a
1235222990
131c626630
141248dc84
15abe0560
hex7545cfc

122969340 has 120 divisors (see below), whose sum is σ = 415504320. Its totient is φ = 30264192.

The previous prime is 122969317. The next prime is 122969383. The reversal of 122969340 is 43969221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122969295 and 122969304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18141 + ... + 23979.

It is an arithmetic number, because the mean of its divisors is an integer number (3462536).

Almost surely, 2122969340 is an apocalyptic number.

122969340 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 122969340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207752160).

122969340 is an abundant number, since it is smaller than the sum of its proper divisors (292534980).

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

122969340 is a wasteful number, since it uses less digits than its factorization.

122969340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5873 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 122969340 is about 11089.1541607104. The cubic root of 122969340 is about 497.2776579417.

The spelling of 122969340 in words is "one hundred twenty-two million, nine hundred sixty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 5839 7020 10530 11678 17517 21060 23356 29195 35034 52551 58390 70068 75907 87585 105102 116780 151814 157653 175170 210204 227721 262755 303628 315306 350340 379535 455442 472959 525510 630612 683163 759070 788265 910884 945918 1051020 1138605 1366326 1518140 1576530 1891836 2049489 2277210 2364795 2732652 3153060 3415815 4098978 4554420 4729590 6148467 6831630 8197956 9459180 10247445 12296934 13663260 20494890 24593868 30742335 40989780 61484670 122969340