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146068944 = 24371512879
BaseRepresentation
bin10001011010011…
…01010111010000
3101011212001220220
420231031113100
5244343201234
622254433040
73422364660
oct1055152720
9334761826
10146068944
11754a783a
1240b02780
1324353838
14155841a0
15cc54a49
hex8b4d5d0

146068944 has 80 divisors (see below), whose sum is σ = 434257920. Its totient is φ = 41443200.

The previous prime is 146068921. The next prime is 146068957. The reversal of 146068944 is 449860641.

146068944 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 2×1460689442 = 42672272802550272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 146068896 and 146068905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49297 + ... + 52175.

It is an arithmetic number, because the mean of its divisors is an integer number (5428224).

Almost surely, 2146068944 is an apocalyptic number.

146068944 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 146068944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217128960).

146068944 is an abundant number, since it is smaller than the sum of its proper divisors (288188976).

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

146068944 is a wasteful number, since it uses less digits than its factorization.

146068944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 146068944 is about 12085.8985598920. The cubic root of 146068944 is about 526.6466142733.

The spelling of 146068944 in words is "one hundred forty-six million, sixty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 151 168 302 336 453 604 906 1057 1208 1812 2114 2416 2879 3171 3624 4228 5758 6342 7248 8456 8637 11516 12684 16912 17274 20153 23032 25368 34548 40306 46064 50736 60459 69096 80612 120918 138192 161224 241836 322448 434729 483672 869458 967344 1304187 1738916 2608374 3043103 3477832 5216748 6086206 6955664 9129309 10433496 12172412 18258618 20866992 24344824 36517236 48689648 73034472 146068944