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114468972 = 22337283911
BaseRepresentation
bin1101101001010…
…10100001101100
321222101121220120
412310222201230
5213301001342
615205244540
72556653532
oct664524154
9258347816
10114468972
1159684262
1232403750
131a93b527
14112ba152
15a0b1aec
hex6d2a86c

114468972 has 48 divisors (see below), whose sum is σ = 275584512. Its totient is φ = 36953280.

The previous prime is 114468971. The next prime is 114468989. The reversal of 114468972 is 279864411.

It is not an unprimeable number, because it can be changed into a prime (114468971) 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 15 ways as a sum of consecutive naturals, for example, 125197 + ... + 126107.

It is an arithmetic number, because the mean of its divisors is an integer number (5741344).

Almost surely, 2114468972 is an apocalyptic number.

114468972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114468972 is an abundant number, since it is smaller than the sum of its proper divisors (161115540).

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

114468972 is a wasteful number, since it uses less digits than its factorization.

114468972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1236 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 114468972 is about 10699.0173380549. The cubic root of 114468972 is about 485.5447480306.

It can be divided in two parts, 114468 and 972, that added together give a triangular number (115440 = T480).

The spelling of 114468972 in words is "one hundred fourteen million, four hundred sixty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 283 444 566 849 911 1132 1698 1822 2733 3396 3644 5466 10471 10932 20942 31413 33707 41884 62826 67414 101121 125652 134828 202242 257813 404484 515626 773439 1031252 1546878 3093756 9539081 19078162 28617243 38156324 57234486 114468972