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123219968 = 21267449
BaseRepresentation
bin1110101100000…
…11000000000000
322120212020000112
413112003000000
5223021014333
620121010452
73024231614
oct726030000
9276766015
10123219968
1163610a93
1235323a28
131c6b3731
1412517344
15ac3e948
hex7583000

123219968 has 52 divisors (see below), whose sum is σ = 250644600. Its totient is φ = 60555264.

The previous prime is 123219937. The next prime is 123219977. The reversal of 123219968 is 869912321.

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, 274208 + ... + 274656.

Almost surely, 2123219968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125322300).

123219968 is an abundant number, since it is smaller than the sum of its proper divisors (127424632).

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

123219968 is an frugal number, since it uses more digits than its factorization.

123219968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 518 counting only the distinct ones).

The product of its digits is 46656, while the sum is 41.

The square root of 123219968 is about 11100.4489999279. The cubic root of 123219968 is about 497.6152681909.

The spelling of 123219968 in words is "one hundred twenty-three million, two hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 449 512 536 898 1024 1072 1796 2048 2144 3592 4096 4288 7184 8576 14368 17152 28736 30083 34304 57472 60166 68608 114944 120332 137216 229888 240664 274432 459776 481328 919552 962656 1839104 1925312 3850624 7701248 15402496 30804992 61609984 123219968