Search a number
-
+
114753380 = 22571316257
BaseRepresentation
bin1101101011011…
…11111101100100
321222221002001012
412311233331210
5213334102010
615215321352
72562246650
oct665577544
9258832035
10114753380
1159858a05
1232520258
131aa0ab11
1411351a60
15a11b005
hex6d6ff64

114753380 has 48 divisors (see below), whose sum is σ = 277554816. Its totient is φ = 39037440.

The previous prime is 114753343. The next prime is 114753389. The reversal of 114753380 is 83357411.

It is a super-3 number, since 3×1147533803 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (114753389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15212 + ... + 21468.

It is an arithmetic number, because the mean of its divisors is an integer number (5782392).

Almost surely, 2114753380 is an apocalyptic number.

114753380 is a gapful number since it is divisible by the number (10) 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 114753380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138777408).

114753380 is an abundant number, since it is smaller than the sum of its proper divisors (162801436).

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

114753380 is a wasteful number, since it uses less digits than its factorization.

114753380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6404 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 114753380 is about 10712.3004065420. The cubic root of 114753380 is about 485.9465413378.

The spelling of 114753380 in words is "one hundred fourteen million, seven hundred fifty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 131 140 262 524 655 917 1310 1834 2620 3668 4585 6257 9170 12514 18340 25028 31285 43799 62570 87598 125140 175196 218995 437990 819667 875980 1639334 3278668 4098335 5737669 8196670 11475338 16393340 22950676 28688345 57376690 114753380