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114015480 = 23352573697
BaseRepresentation
bin1101100101110…
…11110011111000
321221112120211120
412302323303320
5213141443410
615151425240
72553054435
oct662736370
9257476746
10114015480
11593a4577
1232225220
131a80cca7
14111dcb8c
15a022570
hex6cbbcf8

114015480 has 64 divisors (see below), whose sum is σ = 343470240. Its totient is φ = 30277632.

The previous prime is 114015479. The next prime is 114015493. The reversal of 114015480 is 84510411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114015480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28992 + ... + 32688.

Almost surely, 2114015480 is an apocalyptic number.

114015480 is a gapful number since it is divisible by the number (10) 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 114015480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171735120).

114015480 is an abundant number, since it is smaller than the sum of its proper divisors (229454760).

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

114015480 is a wasteful number, since it uses less digits than its factorization.

114015480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 114015480 is about 10677.8031448421. The cubic root of 114015480 is about 484.9027048250.

Adding to 114015480 its reverse (84510411), we get a palindrome (198525891).

The spelling of 114015480 in words is "one hundred fourteen million, fifteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 257 514 771 1028 1285 1542 2056 2570 3084 3697 3855 5140 6168 7394 7710 10280 11091 14788 15420 18485 22182 29576 30840 36970 44364 55455 73940 88728 110910 147880 221820 443640 950129 1900258 2850387 3800516 4750645 5700774 7601032 9501290 11401548 14251935 19002580 22803096 28503870 38005160 57007740 114015480