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114157340 = 22511292617
BaseRepresentation
bin1101100110111…
…10011100011100
321221210210102122
412303132130130
5213211013330
615154442112
72554215143
oct663363434
9257723378
10114157340
1159491110
1232293338
131a85c72b
141123875a
15a04e5e5
hex6cde71c

114157340 has 72 divisors (see below), whose sum is σ = 271292112. Its totient is φ = 40015360.

The previous prime is 114157273. The next prime is 114157343. The reversal of 114157340 is 43751411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114157343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184712 + ... + 185328.

It is an arithmetic number, because the mean of its divisors is an integer number (3767946).

Almost surely, 2114157340 is an apocalyptic number.

114157340 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 114157340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135646056).

114157340 is an abundant number, since it is smaller than the sum of its proper divisors (157134772).

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

114157340 is a wasteful number, since it uses less digits than its factorization.

114157340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 114157340 is about 10684.4438320392. The cubic root of 114157340 is about 485.1037295403.

The spelling of 114157340 in words is "one hundred fourteen million, one hundred fifty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 617 638 841 1234 1276 1595 1682 2468 3085 3190 3364 4205 6170 6380 6787 8410 9251 12340 13574 16820 17893 18502 27148 33935 35786 37004 46255 67870 71572 89465 92510 135740 178930 185020 196823 357860 393646 518897 787292 984115 1037794 1968230 2075588 2594485 3936460 5188970 5707867 10377940 11415734 22831468 28539335 57078670 114157340