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114154432 = 2671913411
BaseRepresentation
bin1101100110111…
…01101111000000
321221210122102221
412303131233000
5213210420212
615154420424
72554203520
oct663355700
9257718387
10114154432
1159489a07
1232291714
131a85b302
1411237680
15a04d807
hex6cddbc0

114154432 has 56 divisors (see below), whose sum is σ = 272531840. Its totient is φ = 46344960.

The previous prime is 114154429. The next prime is 114154433. The reversal of 114154432 is 234451411.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 114154397 and 114154406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114154433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1807 + ... + 15217.

It is an arithmetic number, because the mean of its divisors is an integer number (4866640).

Almost surely, 2114154432 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 114154432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136265920).

114154432 is an abundant number, since it is smaller than the sum of its proper divisors (158377408).

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

114154432 is a wasteful number, since it uses less digits than its factorization.

114154432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13449 (or 13439 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 114154432 is about 10684.3077454742. The cubic root of 114154432 is about 485.0996103903.

The spelling of 114154432 in words is "one hundred fourteen million, one hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 8512 13411 26822 53644 93877 107288 187754 214576 254809 375508 429152 509618 751016 858304 1019236 1502032 1783663 2038472 3004064 3567326 4076944 6008128 7134652 8153888 14269304 16307776 28538608 57077216 114154432