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114145410 = 23531139883
BaseRepresentation
bin1101100110110…
…11100010000010
321221210012001210
412303123202002
5213210123120
615154310550
72554135311
oct663334202
9257705053
10114145410
1159483155
1232288456
131a857182
1411234278
15a04ace0
hex6cdb882

114145410 has 64 divisors (see below), whose sum is σ = 285143040. Its totient is φ = 29211840.

The previous prime is 114145399. The next prime is 114145417. The reversal of 114145410 is 14541411.

It is not an unprimeable number, because it can be changed into a prime (114145417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128829 + ... + 129711.

It is an arithmetic number, because the mean of its divisors is an integer number (4455360).

Almost surely, 2114145410 is an apocalyptic number.

114145410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114145410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142571520).

114145410 is an abundant number, since it is smaller than the sum of its proper divisors (170997630).

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

114145410 is a wasteful number, since it uses less digits than its factorization.

114145410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063.

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 114145410 is about 10683.8855291509. The cubic root of 114145410 is about 485.0868303813.

Adding to 114145410 its reverse (14541411), we get a palindrome (128686821).

The spelling of 114145410 in words is "one hundred fourteen million, one hundred forty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 139 155 186 278 310 417 465 695 834 883 930 1390 1766 2085 2649 4170 4309 4415 5298 8618 8830 12927 13245 21545 25854 26490 27373 43090 54746 64635 82119 122737 129270 136865 164238 245474 273730 368211 410595 613685 736422 821190 1227370 1841055 3682110 3804847 7609694 11414541 19024235 22829082 38048470 57072705 114145410