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114126740 = 22571373859
BaseRepresentation
bin1101100110101…
…10111110010100
321221202020110022
412303112332110
5213204023430
615154044312
72554030010
oct663267624
9257666408
10114126740
1159470122
1232279698
131a84b820
141122b540
15a0454e5
hex6cd6f94

114126740 has 96 divisors (see below), whose sum is σ = 299362560. Its totient is φ = 35582976.

The previous prime is 114126703. The next prime is 114126751. The reversal of 114126740 is 47621411.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132431 + ... + 133289.

It is an arithmetic number, because the mean of its divisors is an integer number (3118360).

Almost surely, 2114126740 is an apocalyptic number.

114126740 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 114126740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149681280).

114126740 is an abundant number, since it is smaller than the sum of its proper divisors (185235820).

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

114126740 is a wasteful number, since it uses less digits than its factorization.

114126740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 114126740 is about 10683.0117476300. The cubic root of 114126740 is about 485.0603814716.

The spelling of 114126740 in words is "one hundred fourteen million, one hundred twenty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 73 91 130 140 146 182 260 292 364 365 455 511 730 859 910 949 1022 1460 1718 1820 1898 2044 2555 3436 3796 4295 4745 5110 6013 6643 8590 9490 10220 11167 12026 13286 17180 18980 22334 24052 26572 30065 33215 44668 55835 60130 62707 66430 78169 111670 120260 125414 132860 156338 223340 250828 312676 313535 390845 438949 627070 781690 815191 877898 1254140 1563380 1630382 1755796 2194745 3260764 4075955 4389490 5706337 8151910 8778980 11412674 16303820 22825348 28531685 57063370 114126740