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114650240 = 275359499
BaseRepresentation
bin1101101010101…
…10110010000000
321222201211120012
412311112302000
5213322301430
615213204052
72561340155
oct665266200
9258654505
10114650240
1159798471
1232490628
131a9a2ba3
141132622c
15a0ea695
hex6d56c80

114650240 has 64 divisors (see below), whose sum is σ = 275400000. Its totient is φ = 45640704.

The previous prime is 114650203. The next prime is 114650269. The reversal of 114650240 is 42056411.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229511 + ... + 230009.

It is an arithmetic number, because the mean of its divisors is an integer number (4303125).

Almost surely, 2114650240 is an apocalyptic number.

114650240 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 114650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137700000).

114650240 is an abundant number, since it is smaller than the sum of its proper divisors (160749760).

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

114650240 is an equidigital number, since it uses as much as digits as its factorization.

114650240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 114650240 is about 10707.4852323036. The cubic root of 114650240 is about 485.8009085909.

The spelling of 114650240 in words is "one hundred fourteen million, six hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 359 499 640 718 998 1436 1795 1996 2495 2872 3590 3992 4990 5744 7180 7984 9980 11488 14360 15968 19960 22976 28720 31936 39920 45952 57440 63872 79840 114880 159680 179141 229760 319360 358282 716564 895705 1433128 1791410 2866256 3582820 5732512 7165640 11465024 14331280 22930048 28662560 57325120 114650240