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114604032 = 211323811
BaseRepresentation
bin1101101010010…
…11100000000000
321222122111011210
412311023200000
5213314312112
615212210120
72561055354
oct665134000
9258574153
10114604032
1159766784
1232469940
131a987b4a
1411313464
15a0dbb3c
hex6d4b800

114604032 has 96 divisors (see below), whose sum is σ = 319213440. Its totient is φ = 36495360.

The previous prime is 114603949. The next prime is 114604043. The reversal of 114604032 is 230406411.

It is a tau number, because it is divible by the number of its divisors (96).

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, 140907 + ... + 141717.

It is an arithmetic number, because the mean of its divisors is an integer number (3325140).

Almost surely, 2114604032 is an apocalyptic number.

114604032 is a gapful number since it is divisible by the number (12) 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 114604032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159606720).

114604032 is an abundant number, since it is smaller than the sum of its proper divisors (204609408).

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

114604032 is an equidigital number, since it uses as much as digits as its factorization.

114604032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 114604032 is about 10705.3272719707. The cubic root of 114604032 is about 485.7356349818.

The spelling of 114604032 in words is "one hundred fourteen million, six hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 811 1024 1104 1472 1536 1622 2048 2208 2433 2944 3072 3244 4416 4866 5888 6144 6488 8832 9732 11776 12976 17664 18653 19464 23552 25952 35328 37306 38928 47104 51904 55959 70656 74612 77856 103808 111918 141312 149224 155712 207616 223836 298448 311424 415232 447672 596896 622848 830464 895344 1193792 1245696 1660928 1790688 2387584 2491392 3581376 4775168 4982784 7162752 9550336 14325504 19100672 28651008 38201344 57302016 114604032