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114941408 = 2543103811
BaseRepresentation
bin1101101100111…
…01110111100000
322000021121222012
412312131313200
5213411111113
615223332052
72563662101
oct666356740
9260247865
10114941408
11599771aa
12325b1028
131aa7558a
14113a03a8
15a156aa8
hex6d9dde0

114941408 has 48 divisors (see below), whose sum is σ = 234089856. Its totient is φ = 55520640.

The previous prime is 114941383. The next prime is 114941443. The reversal of 114941408 is 804149411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141323 + ... + 142133.

It is an arithmetic number, because the mean of its divisors is an integer number (4876872).

Almost surely, 2114941408 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 114941408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117044928).

114941408 is an abundant number, since it is smaller than the sum of its proper divisors (119148448).

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

114941408 is a wasteful number, since it uses less digits than its factorization.

114941408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 114941408 is about 10721.0730806202. The cubic root of 114941408 is about 486.2118107829.

The spelling of 114941408 in words is "one hundred fourteen million, nine hundred forty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 43 86 103 172 206 344 412 688 811 824 1376 1622 1648 3244 3296 4429 6488 8858 12976 17716 25952 34873 35432 69746 70864 83533 139492 141728 167066 278984 334132 557968 668264 1115936 1336528 2673056 3591919 7183838 14367676 28735352 57470704 114941408