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122796828 = 2232711311429
BaseRepresentation
bin1110101000110…
…11101100011100
322120001201120200
413110123230130
5222413444303
620103543500
73020520150
oct724335434
9276051520
10122796828
1163352090
123515ab90
131c595c5b
1412447060
15aba93a3
hex751bb1c

122796828 has 144 divisors (see below), whose sum is σ = 399759360. Its totient is φ = 30844800.

The previous prime is 122796827. The next prime is 122796833. The reversal of 122796828 is 828697221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122796827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85218 + ... + 86646.

Almost surely, 2122796828 is an apocalyptic number.

122796828 is a gapful number since it is divisible by the number (18) 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 122796828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199879680).

122796828 is an abundant number, since it is smaller than the sum of its proper divisors (276962532).

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

122796828 is a wasteful number, since it uses less digits than its factorization.

122796828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1483 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 122796828 is about 11081.3730196217. The cubic root of 122796828 is about 497.0450077792.

The spelling of 122796828 in words is "one hundred twenty-two million, seven hundred ninety-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 31 33 36 42 44 62 63 66 77 84 93 99 124 126 132 154 186 198 217 231 252 279 308 341 372 396 434 462 558 651 682 693 868 924 1023 1116 1302 1364 1386 1429 1953 2046 2387 2604 2772 2858 3069 3906 4092 4287 4774 5716 6138 7161 7812 8574 9548 10003 12276 12861 14322 15719 17148 20006 21483 25722 28644 30009 31438 40012 42966 44299 47157 51444 60018 62876 85932 88598 90027 94314 110033 120036 132897 141471 177196 180054 188628 220066 265794 282942 310093 330099 360108 398691 440132 487289 531588 565884 620186 660198 797382 930279 974578 990297 1240372 1320396 1461867 1594764 1860558 1949156 1980594 2790837 2923734 3411023 3721116 3961188 4385601 5581674 5847468 6822046 8771202 10233069 11163348 13644092 17542404 20466138 30699207 40932276 61398414 122796828