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122948096 = 29439547
BaseRepresentation
bin1110101010000…
…00101000000000
322120100102002012
413111000220000
5222433314341
620111112052
73022020155
oct725005000
9276312065
10122948096
11634457a7
1235212628
131c619a6b
141248622c
15abd90eb
hex7540a00

122948096 has 40 divisors (see below), whose sum is σ = 246665760. Its totient is φ = 61221888.

The previous prime is 122948057. The next prime is 122948117. The reversal of 122948096 is 690849221.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 224495 + ... + 225041.

It is an arithmetic number, because the mean of its divisors is an integer number (6166644).

Almost surely, 2122948096 is an apocalyptic number.

122948096 is a gapful number since it is divisible by the number (16) 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 122948096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123332880).

122948096 is an abundant number, since it is smaller than the sum of its proper divisors (123717664).

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

122948096 is an frugal number, since it uses more digits than its factorization.

122948096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 122948096 is about 11088.1962464596. The cubic root of 122948096 is about 497.2490199766.

The spelling of 122948096 in words is "one hundred twenty-two million, nine hundred forty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 439 512 547 878 1094 1756 2188 3512 4376 7024 8752 14048 17504 28096 35008 56192 70016 112384 140032 224768 240133 280064 480266 960532 1921064 3842128 7684256 15368512 30737024 61474048 122948096