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122918940 = 223254315881
BaseRepresentation
bin1110101001110…
…01100000011100
322120021221002100
413110321200130
5222431401230
620110325100
73021536154
oct724714034
9276257070
10122918940
1163425901
12351b9790
131c609701
1412479764
15abd0660
hex753981c

122918940 has 72 divisors (see below), whose sum is σ = 381549168. Its totient is φ = 32014080.

The previous prime is 122918927. The next prime is 122918941. The reversal of 122918940 is 49819221.

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 = 122918895 and 122918904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122918941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201 + ... + 15680.

It is an arithmetic number, because the mean of its divisors is an integer number (5299294).

Almost surely, 2122918940 is an apocalyptic number.

122918940 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 122918940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190774584).

122918940 is an abundant number, since it is smaller than the sum of its proper divisors (258630228).

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

122918940 is a wasteful number, since it uses less digits than its factorization.

122918940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15939 (or 15934 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 122918940 is about 11086.8814370859. The cubic root of 122918940 is about 497.2097108724.

The spelling of 122918940 in words is "one hundred twenty-two million, nine hundred eighteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 15881 31762 47643 63524 79405 95286 142929 158810 190572 238215 285858 317620 476430 571716 682883 714645 952860 1365766 1429290 2048649 2731532 2858580 3414415 4097298 6145947 6828830 8194596 10243245 12291894 13657660 20486490 24583788 30729735 40972980 61459470 122918940