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145233240 = 233510711311
BaseRepresentation
bin10001010100000…
…01010101011000
3101010021121112220
420222001111120
5244134430430
622224504040
73412314345
oct1052012530
9333247486
10145233240
1174a86979
124077b020
1324120339
14154077cc
15cb3c110
hex8a81558

145233240 has 64 divisors (see below), whose sum is σ = 439810560. Its totient is φ = 38363520.

The previous prime is 145233239. The next prime is 145233259. The reversal of 145233240 is 42332541.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 145233240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7185 + ... + 18495.

It is an arithmetic number, because the mean of its divisors is an integer number (6872040).

Almost surely, 2145233240 is an apocalyptic number.

145233240 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 145233240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219905280).

145233240 is an abundant number, since it is smaller than the sum of its proper divisors (294577320).

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

145233240 is a wasteful number, since it uses less digits than its factorization.

145233240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11432 (or 11428 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 145233240 is about 12051.2754511711. The cubic root of 145233240 is about 525.6403252747.

Adding to 145233240 its reverse (42332541), we get a palindrome (187565781).

The spelling of 145233240 in words is "one hundred forty-five million, two hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 11311 12840 22622 33933 45244 56555 67866 90488 113110 135732 169665 226220 271464 339330 452440 678660 1210277 1357320 2420554 3630831 4841108 6051385 7261662 9682216 12102770 14523324 18154155 24205540 29046648 36308310 48411080 72616620 145233240