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145112240 = 24571331643
BaseRepresentation
bin10001010011000…
…11110010110000
3101010001110120102
420221203302300
5244122042430
622222131532
73411301520
oct1051436260
9333043512
10145112240
1174a03a79
1240720ba8
13240aa240
14153b5680
15cb16345
hex8a63cb0

145112240 has 160 divisors (see below), whose sum is σ = 429305856. Its totient is φ = 44375040.

The previous prime is 145112213. The next prime is 145112263. The reversal of 145112240 is 42211541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225359 + ... + 226001.

Almost surely, 2145112240 is an apocalyptic number.

145112240 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 145112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214652928).

145112240 is an abundant number, since it is smaller than the sum of its proper divisors (284193616).

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

145112240 is a wasteful number, since it uses less digits than its factorization.

145112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 145112240 is about 12046.2541895811. The cubic root of 145112240 is about 525.4943069324.

Adding to 145112240 its reverse (42211541), we get a palindrome (187323781).

The spelling of 145112240 in words is "one hundred forty-five million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 31 35 40 52 56 62 65 70 80 91 104 112 124 130 140 155 182 208 217 248 260 280 310 364 403 434 455 496 520 560 620 643 728 806 868 910 1040 1085 1240 1286 1456 1612 1736 1820 2015 2170 2480 2572 2821 3215 3224 3472 3640 4030 4340 4501 5144 5642 6430 6448 7280 8060 8359 8680 9002 10288 11284 12860 14105 16120 16718 17360 18004 19933 22505 22568 25720 28210 32240 33436 36008 39866 41795 45010 45136 51440 56420 58513 66872 72016 79732 83590 90020 99665 112840 117026 133744 139531 159464 167180 180040 199330 225680 234052 259129 279062 292565 318928 334360 360080 398660 468104 518258 558124 585130 668720 697655 797320 936208 1036516 1116248 1170260 1295645 1395310 1594640 1813903 2073032 2232496 2340520 2591290 2790620 3627806 4146064 4681040 5182580 5581240 7255612 9069515 10365160 11162480 14511224 18139030 20730320 29022448 36278060 72556120 145112240