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114927648 = 25311432531
BaseRepresentation
bin1101101100110…
…10100000100000
322000020221002120
412312122200200
5213410141043
615223144240
72563604013
oct666324040
9260227076
10114927648
1159967930
12325a5080
131aa6c234
141139937a
15a152983
hex6d9a820

114927648 has 96 divisors (see below), whose sum is σ = 336897792. Its totient is φ = 34003200.

The previous prime is 114927647. The next prime is 114927649. The reversal of 114927648 is 846729411.

It is an interprime number because it is at equal distance from previous prime (114927647) and next prime (114927649).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (114927647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44143 + ... + 46673.

It is an arithmetic number, because the mean of its divisors is an integer number (3509352).

Almost surely, 2114927648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114927648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168448896).

114927648 is an abundant number, since it is smaller than the sum of its proper divisors (221970144).

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

114927648 is a wasteful number, since it uses less digits than its factorization.

114927648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2590 counting only the distinct ones).

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

The square root of 114927648 is about 10720.4313346059. The cubic root of 114927648 is about 486.1924080234.

The spelling of 114927648 in words is "one hundred fourteen million, nine hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 66 86 88 96 129 132 172 176 258 264 344 352 473 516 528 688 946 1032 1056 1376 1419 1892 2064 2531 2838 3784 4128 5062 5676 7568 7593 10124 11352 15136 15186 20248 22704 27841 30372 40496 45408 55682 60744 80992 83523 108833 111364 121488 167046 217666 222728 242976 326499 334092 435332 445456 652998 668184 870664 890912 1197163 1305996 1336368 1741328 2394326 2611992 2672736 3482656 3591489 4788652 5223984 7182978 9577304 10447968 14365956 19154608 28731912 38309216 57463824 114927648