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145777632 = 253711133741
BaseRepresentation
bin10001011000001…
…10001111100000
3101011022021022120
420230012033200
5244304341012
622244304240
73420042450
oct1054061740
9334267276
10145777632
1175318990
12409a2080
1324281070
1415509d60
15cbe858c
hex8b063e0

145777632 has 384 divisors, whose sum is σ = 540546048. Its totient is φ = 33177600.

The previous prime is 145777589. The next prime is 145777637. The reversal of 145777632 is 236777541.

145777632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1457776322 = 42502235983054848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145777637) 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 63 ways as a sum of consecutive naturals, for example, 3555532 + ... + 3555572.

It is an arithmetic number, because the mean of its divisors is an integer number (1407672).

Almost surely, 2145777632 is an apocalyptic number.

145777632 is a gapful number since it is divisible by the number (12) 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 145777632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270273024).

145777632 is an abundant number, since it is smaller than the sum of its proper divisors (394768416).

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

145777632 is a wasteful number, since it uses less digits than its factorization.

145777632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its digits is 246960, while the sum is 42.

The square root of 145777632 is about 12073.8408139250. The cubic root of 145777632 is about 526.2962760990.

Subtracting 145777632 from its reverse (236777541), we obtain a palindrome (90999909).

It can be divided in two parts, 145 and 777632, that added together give a palindrome (777777).

The spelling of 145777632 in words is "one hundred forty-five million, seven hundred seventy-seven thousand, six hundred thirty-two".