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145340010 = 232559101271
BaseRepresentation
bin10001010100110…
…11011001101010
3101010111001000100
420222123121222
5244201340020
622231050230
73413240544
oct1052333152
9333431010
10145340010
117504a112
1240810976
1324159b0a
1415434694
15cb5da90
hex8a9b66a

145340010 has 96 divisors (see below), whose sum is σ = 389525760. Its totient is φ = 37584000.

The previous prime is 145340009. The next prime is 145340017. The reversal of 145340010 is 10043541.

It is a happy number.

145340010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453400102 = 42247437013600200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (145340017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 536175 + ... + 536445.

It is an arithmetic number, because the mean of its divisors is an integer number (4057560).

Almost surely, 2145340010 is an apocalyptic number.

145340010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145340010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194762880).

145340010 is an abundant number, since it is smaller than the sum of its proper divisors (244185750).

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

145340010 is a wasteful number, since it uses less digits than its factorization.

145340010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 145340010 is about 12055.7044588858. The cubic root of 145340010 is about 525.7691040356.

Adding to 145340010 its reverse (10043541), we get a palindrome (155383551).

The spelling of 145340010 in words is "one hundred forty-five million, three hundred forty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 101 118 177 202 271 295 303 354 505 531 542 590 606 813 885 909 1010 1062 1355 1515 1626 1770 1818 2439 2655 2710 3030 4065 4545 4878 5310 5959 8130 9090 11918 12195 15989 17877 24390 27371 29795 31978 35754 47967 53631 54742 59590 79945 82113 89385 95934 107262 136855 143901 159890 164226 178770 239835 246339 268155 273710 287802 410565 479670 492678 536310 719505 821130 1231695 1439010 1614889 2463390 3229778 4844667 8074445 9689334 14534001 16148890 24223335 29068002 48446670 72670005 145340010