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114861912 = 233112371069
BaseRepresentation
bin1101101100010…
…10011101011000
322000010120220220
412312022131120
5213401040122
615221520040
72563211244
oct666123530
9260116826
10114861912
1159922500
1232573020
131aa48339
141137d424
15a13d25c
hex6d8a758

114861912 has 96 divisors (see below), whose sum is σ = 324466800. Its totient is φ = 33834240.

The previous prime is 114861899. The next prime is 114861959. The reversal of 114861912 is 219168411.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106914 + ... + 107982.

Almost surely, 2114861912 is an apocalyptic number.

114861912 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 114861912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162233400).

114861912 is an abundant number, since it is smaller than the sum of its proper divisors (209604888).

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

114861912 is a wasteful number, since it uses less digits than its factorization.

114861912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1122 counting only the distinct ones).

The product of its digits is 3456, while the sum is 33.

The square root of 114861912 is about 10717.3649746568. The cubic root of 114861912 is about 486.0996933455.

The spelling of 114861912 in words is "one hundred fourteen million, eight hundred sixty-one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 121 132 148 222 242 264 296 363 407 444 484 726 814 888 968 1069 1221 1452 1628 2138 2442 2904 3207 3256 4276 4477 4884 6414 8552 8954 9768 11759 12828 13431 17908 23518 25656 26862 35277 35816 39553 47036 53724 70554 79106 94072 107448 118659 129349 141108 158212 237318 258698 282216 316424 388047 435083 474636 517396 776094 870166 949272 1034792 1305249 1552188 1740332 2610498 3104376 3480664 4785913 5220996 9571826 10441992 14357739 19143652 28715478 38287304 57430956 114861912