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145331560 = 235113779113
BaseRepresentation
bin10001010100110…
…01010101101000
3101010110121102101
420222121111220
5244201102220
622230543144
73413204113
oct1052312550
9333417371
10145331560
1175043830
1240807ab4
132415600a
141543157a
15cb5b30a
hex8a99568

145331560 has 128 divisors (see below), whose sum is σ = 374284800. Its totient is φ = 50319360.

The previous prime is 145331507. The next prime is 145331569. The reversal of 145331560 is 65133541.

It is a super-2 number, since 2×1453315602 = 42242524664067200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145331569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1286064 + ... + 1286176.

It is an arithmetic number, because the mean of its divisors is an integer number (2924100).

Almost surely, 2145331560 is an apocalyptic number.

145331560 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 145331560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187142400).

145331560 is an abundant number, since it is smaller than the sum of its proper divisors (228953240).

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

145331560 is a wasteful number, since it uses less digits than its factorization.

145331560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 145331560 is about 12055.3539972910. The cubic root of 145331560 is about 525.7589145151.

It can be divided in two parts, 145 and 331560, that added together give a triangular number (331705 = T814).

The spelling of 145331560 in words is "one hundred forty-five million, three hundred thirty-one thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 79 88 110 113 148 158 185 220 226 296 316 370 395 407 440 452 565 632 740 790 814 869 904 1130 1243 1480 1580 1628 1738 2035 2260 2486 2923 3160 3256 3476 4070 4181 4345 4520 4972 5846 6215 6952 8140 8362 8690 8927 9944 11692 12430 14615 16280 16724 17380 17854 20905 23384 24860 29230 32153 33448 34760 35708 41810 44635 45991 49720 58460 64306 71416 83620 89270 91982 98197 116920 128612 160765 167240 178540 183964 196394 229955 257224 321530 330299 357080 367928 392788 459910 490985 643060 660598 785576 919820 981970 1286120 1321196 1651495 1839640 1963940 2642392 3302990 3633289 3927880 6605980 7266578 13211960 14533156 18166445 29066312 36332890 72665780 145331560