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114969400 = 23527136317
BaseRepresentation
bin1101101101001…
…00101100111000
322000100001100221
412312210230320
5213413010100
615224105424
72564136520
oct666445470
9260301327
10114969400
1159996237
1232605274
131aa85240
14113aa680
15a16001a
hex6da4b38

114969400 has 96 divisors (see below), whose sum is σ = 329041440. Its totient is φ = 36380160.

The previous prime is 114969389. The next prime is 114969409. The reversal of 114969400 is 4969411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114969409) 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, 15042 + ... + 21358.

It is an arithmetic number, because the mean of its divisors is an integer number (3427515).

Almost surely, 2114969400 is an apocalyptic number.

114969400 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 114969400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164520720).

114969400 is an abundant number, since it is smaller than the sum of its proper divisors (214072040).

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

114969400 is a wasteful number, since it uses less digits than its factorization.

114969400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6353 (or 6344 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 114969400 is about 10722.3784674857. The cubic root of 114969400 is about 486.2512770831.

The spelling of 114969400 in words is "one hundred fourteen million, nine hundred sixty-nine thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1300 1400 1820 2275 2600 3640 4550 6317 9100 12634 18200 25268 31585 44219 50536 63170 82121 88438 126340 157925 164242 176876 221095 252680 315850 328484 353752 410605 442190 574847 631700 656968 821210 884380 1105475 1149694 1263400 1642420 1768760 2053025 2210950 2299388 2874235 3284840 4106050 4421900 4598776 5748470 8212100 8843800 11496940 14371175 16424200 22993880 28742350 57484700 114969400