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145404320 = 2555973211
BaseRepresentation
bin10001010101010…
…11000110100000
3101010121022020012
420222223012200
5244210414240
622232304052
73413626205
oct1052530640
9333538205
10145404320
1175093466
1240842028
1324180179
141544dcac
15cb72b65
hex8aab1a0

145404320 has 96 divisors (see below), whose sum is σ = 355803840. Its totient is φ = 56125440.

The previous prime is 145404307. The next prime is 145404331. The reversal of 145404320 is 23404541.

It is a super-2 number, since 2×1454043202 = 42284832549324800, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 689015 + ... + 689225.

It is an arithmetic number, because the mean of its divisors is an integer number (3706290).

Almost surely, 2145404320 is an apocalyptic number.

145404320 is a gapful number since it is divisible by the number (10) 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 145404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177901920).

145404320 is an abundant number, since it is smaller than the sum of its proper divisors (210399520).

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

145404320 is a wasteful number, since it uses less digits than its factorization.

145404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 145404320 is about 12058.3713659847. The cubic root of 145404320 is about 525.8466399810.

Adding to 145404320 its reverse (23404541), we get a palindrome (168808861).

The spelling of 145404320 in words is "one hundred forty-five million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 73 80 118 146 160 211 236 292 295 365 422 472 584 590 730 844 944 1055 1168 1180 1460 1688 1888 2110 2336 2360 2920 3376 4220 4307 4720 5840 6752 8440 8614 9440 11680 12449 15403 16880 17228 21535 24898 30806 33760 34456 43070 49796 61612 62245 68912 77015 86140 99592 123224 124490 137824 154030 172280 199184 246448 248980 308060 344560 398368 492896 497960 616120 689120 908777 995920 1232240 1817554 1991840 2464480 3635108 4543885 7270216 9087770 14540432 18175540 29080864 36351080 72702160 145404320