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145405440 = 293256311
BaseRepresentation
bin10001010101010…
…11011000000000
3101010121100202200
420222223120000
5244210433230
622232313200
73413632365
oct1052533000
9333540680
10145405440
1175094294
1240842800
132418082b
141545046c
15cb73160
hex8aab600

145405440 has 120 divisors (see below), whose sum is σ = 503659728. Its totient is φ = 38768640.

The previous prime is 145405367. The next prime is 145405457. The reversal of 145405440 is 44504541.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1454054402 = 42285483963187200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19885 + ... + 26195.

Almost surely, 2145405440 is an apocalyptic number.

145405440 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 145405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251829864).

145405440 is an abundant number, since it is smaller than the sum of its proper divisors (358254288).

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

145405440 is an equidigital number, since it uses as much as digits as its factorization.

145405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6340 (or 6321 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 145405440 is about 12058.4178066610. The cubic root of 145405440 is about 525.8479901168.

Adding to 145405440 its reverse (44504541), we get a palindrome (189909981).

The spelling of 145405440 in words is "one hundred forty-five million, four hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 6311 7680 11520 12622 18933 23040 25244 31555 37866 50488 56799 63110 75732 94665 100976 113598 126220 151464 189330 201952 227196 252440 283995 302928 378660 403904 454392 504880 567990 605856 757320 807808 908784 1009760 1135980 1211712 1514640 1615616 1817568 2019520 2271960 2423424 3029280 3231232 3635136 4039040 4543920 4846848 6058560 7270272 8078080 9087840 9693696 12117120 14540544 16156160 18175680 24234240 29081088 36351360 48468480 72702720 145405440