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1514047068 = 2232311917103
BaseRepresentation
bin101101000111110…
…1000011001011100
310220111221120010100
41122033220121130
511100044001233
6410123141100
752343121252
oct13217503134
93814846110
101514047068
11707704a76
12363074790
131b189cc51
1410511c5d2
158cdc1813
hex5a3e865c

1514047068 has 72 divisors (see below), whose sum is σ = 3971874816. Its totient is φ = 485776800.

The previous prime is 1514047063. The next prime is 1514047069. The reversal of 1514047068 is 8607404151.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1514047061) 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, 209605 + ... + 216707.

It is an arithmetic number, because the mean of its divisors is an integer number (55164928).

Almost surely, 21514047068 is an apocalyptic number.

1514047068 is a gapful number since it is divisible by the number (18) 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 1514047068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985937408).

1514047068 is an abundant number, since it is smaller than the sum of its proper divisors (2457827748).

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

1514047068 is a wasteful number, since it uses less digits than its factorization.

1514047068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7335 (or 7330 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1514047068 is about 38910.7577412725. The cubic root of 1514047068 is about 1148.2764522980.

The spelling of 1514047068 in words is "one billion, five hundred fourteen million, forty-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 191 279 372 382 558 573 764 1116 1146 1719 2292 3438 5921 6876 7103 11842 14206 17763 21309 23684 28412 35526 42618 53289 63927 71052 85236 106578 127854 213156 220193 255708 440386 660579 880772 1321158 1356673 1981737 2642316 2713346 3963474 4070019 5426692 7926948 8140038 12210057 16280076 24420114 42056863 48840228 84113726 126170589 168227452 252341178 378511767 504682356 757023534 1514047068