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1410100104 = 233738921577
BaseRepresentation
bin101010000001100…
…0110101110001000
310122021100111200210
41110003012232020
510341441200404
6351531201120
746641440010
oct12403065610
93567314623
101410100104
11663a68096
123342a61a0
131961a6a7a
14d53c0c40
1583bdc689
hex540c6b88

1410100104 has 64 divisors (see below), whose sum is σ = 4039401600. Its totient is φ = 401831424.

The previous prime is 1410100103. The next prime is 1410100121. The reversal of 1410100104 is 4010010141.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1410100104.

It is not an unprimeable number, because it can be changed into a prime (1410100103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54564 + ... + 76140.

It is an arithmetic number, because the mean of its divisors is an integer number (63115650).

Almost surely, 21410100104 is an apocalyptic number.

1410100104 is a gapful number since it is divisible by the number (14) 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 1410100104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019700800).

1410100104 is an abundant number, since it is smaller than the sum of its proper divisors (2629301496).

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

1410100104 is a wasteful number, since it uses less digits than its factorization.

1410100104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21982 (or 21978 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1410100104 is about 37551.2996313044. The cubic root of 1410100104 is about 1121.3727067616.

Adding to 1410100104 its reverse (4010010141), we get a palindrome (5420110245).

The spelling of 1410100104 in words is "one billion, four hundred ten million, one hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 389 778 1167 1556 2334 2723 3112 4668 5446 8169 9336 10892 16338 21577 21784 32676 43154 64731 65352 86308 129462 151039 172616 258924 302078 453117 517848 604156 906234 1208312 1812468 3624936 8393453 16786906 25180359 33573812 50360718 58754171 67147624 100721436 117508342 176262513 201442872 235016684 352525026 470033368 705050052 1410100104