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114110352 = 243219179233
BaseRepresentation
bin1101100110100…
…10111110010000
321221201101222100
412303102332100
5213203012402
615153440400
72553631146
oct663227620
9257641870
10114110352
1159459884
1232270100
131a844225
1411225596
15a04071c
hex6cd2f90

114110352 has 120 divisors (see below), whose sum is σ = 339487200. Its totient is φ = 35679744.

The previous prime is 114110351. The next prime is 114110357. The reversal of 114110352 is 253011411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (114110351) 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, 489628 + ... + 489860.

It is an arithmetic number, because the mean of its divisors is an integer number (2829060).

Almost surely, 2114110352 is an apocalyptic number.

114110352 is a gapful number since it is divisible by the number (12) 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 114110352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169743600).

114110352 is an abundant number, since it is smaller than the sum of its proper divisors (225376848).

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

114110352 is a wasteful number, since it uses less digits than its factorization.

114110352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 114110352 is about 10682.2447079254. The cubic root of 114110352 is about 485.0371629865.

Adding to 114110352 its reverse (253011411), we get a palindrome (367121763).

The spelling of 114110352 in words is "one hundred fourteen million, one hundred ten thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 179 228 233 304 342 358 456 466 537 684 699 716 912 932 1074 1368 1398 1432 1611 1864 2097 2148 2736 2796 2864 3222 3401 3728 4194 4296 4427 5592 6444 6802 8388 8592 8854 10203 11184 12888 13281 13604 16776 17708 20406 25776 26562 27208 30609 33552 35416 39843 40812 41707 53124 54416 61218 70832 79686 81624 83414 106248 122436 125121 159372 163248 166828 212496 244872 250242 318744 333656 375363 489744 500484 637488 667312 750726 792433 1000968 1501452 1584866 2001936 2377299 3002904 3169732 4754598 6005808 6339464 7131897 9509196 12678928 14263794 19018392 28527588 38036784 57055176 114110352