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1405500096 = 2637111371103
BaseRepresentation
bin101001111000110…
…0011101011000000
310121221200210200010
41103301203223000
510334302000341
6351244424520
746554360630
oct12361435300
93557623603
101405500096
11661406030
12332848140
13195256080
14d49446c0
15835ce716
hex53c63ac0

1405500096 has 448 divisors, whose sum is σ = 5112446976. Its totient is φ = 329011200.

The previous prime is 1405500073. The next prime is 1405500113. The reversal of 1405500096 is 6900055041.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13645581 + ... + 13645683.

It is an arithmetic number, because the mean of its divisors is an integer number (11411712).

Almost surely, 21405500096 is an apocalyptic number.

1405500096 is a gapful number since it is divisible by the number (16) 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 1405500096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556223488).

1405500096 is an abundant number, since it is smaller than the sum of its proper divisors (3706946880).

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

1405500096 is a wasteful number, since it uses less digits than its factorization.

1405500096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 1405500096 is about 37489.9999466524. Note that the first 4 decimals coincide. The cubic root of 1405500096 is about 1120.1520031792.

Subtracting 1405500096 from its reverse (6900055041), we obtain a palindrome (5494554945).

It can be divided in two parts, 1405 and 500096, that added together give a triangular number (501501 = T1001).

The spelling of 1405500096 in words is "one billion, four hundred five million, five hundred thousand, ninety-six".