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114364928 = 29376037
BaseRepresentation
bin1101101000100…
…01001000000000
321222012100012002
412310101020000
5213234134203
615203123132
72556041306
oct664211000
9258170162
10114364928
1159613077
12323734a8
131a903072
1411290276
15a090d88
hex6d11200

114364928 has 40 divisors (see below), whose sum is σ = 234721212. Its totient is φ = 55627776.

The previous prime is 114364919. The next prime is 114364931. The reversal of 114364928 is 829463411.

It can be written as a sum of positive squares in 2 ways, for example, as 113891584 + 473344 = 10672^2 + 688^2 .

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 114364891 and 114364900.

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, 15926 + ... + 21962.

Almost surely, 2114364928 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 114364928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117360606).

114364928 is an abundant number, since it is smaller than the sum of its proper divisors (120356284).

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

114364928 is an frugal number, since it uses more digits than its factorization.

114364928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6092 (or 6076 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 114364928 is about 10694.1539169773. The cubic root of 114364928 is about 485.3975951083.

The spelling of 114364928 in words is "one hundred fourteen million, three hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1184 2368 4736 6037 9472 12074 18944 24148 48296 96592 193184 223369 386368 446738 772736 893476 1545472 1786952 3090944 3573904 7147808 14295616 28591232 57182464 114364928