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114132992 = 211232423
BaseRepresentation
bin1101100110110…
…00100000000000
321221202120000212
412303120200000
5213204223432
615154133252
72554054151
oct663304000
9257676025
10114132992
1159474896
1232281228
131a85161c
141122d928
15a0472b2
hex6cd8800

114132992 has 48 divisors (see below), whose sum is σ = 238230720. Its totient is φ = 54562816.

The previous prime is 114132983. The next prime is 114133001. The reversal of 114132992 is 299231411.

It is an interprime number because it is at equal distance from previous prime (114132983) and next prime (114133001).

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

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, 45893 + ... + 48315.

It is an arithmetic number, because the mean of its divisors is an integer number (4963140).

Almost surely, 2114132992 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 114132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119115360).

114132992 is an abundant number, since it is smaller than the sum of its proper divisors (124097728).

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

114132992 is an equidigital number, since it uses as much as digits as its factorization.

114132992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2448 counting only the distinct ones).

The product of its digits is 3888, while the sum is 32.

The square root of 114132992 is about 10683.3043577350. The cubic root of 114132992 is about 485.0692387068.

The spelling of 114132992 in words is "one hundred fourteen million, one hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1024 1472 2048 2423 2944 4846 5888 9692 11776 19384 23552 38768 47104 55729 77536 111458 155072 222916 310144 445832 620288 891664 1240576 1783328 2481152 3566656 4962304 7133312 14266624 28533248 57066496 114132992