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152669340 = 22335299749
BaseRepresentation
bin10010001100110…
…00110010011100
3101122021101222000
421012120302130
5303040404330
623052122300
73532445055
oct1106306234
9348241860
10152669340
11791a580a
1243166390
1325824bb5
14163c172c
15d60a560
hex9198c9c

152669340 has 96 divisors (see below), whose sum is σ = 491400000. Its totient is φ = 39303936.

The previous prime is 152669339. The next prime is 152669347. The reversal of 152669340 is 43966251.

It is a happy number.

152669340 is a `hidden beast` number, since 1 + 526 + 6 + 93 + 40 = 666.

152669340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 152669295 and 152669304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152669347) 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, 10786 + ... + 20534.

It is an arithmetic number, because the mean of its divisors is an integer number (5118750).

Almost surely, 2152669340 is an apocalyptic number.

152669340 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 152669340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245700000).

152669340 is an abundant number, since it is smaller than the sum of its proper divisors (338730660).

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

152669340 is a wasteful number, since it uses less digits than its factorization.

152669340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9796 (or 9788 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 152669340 is about 12355.9435090972. The cubic root of 152669340 is about 534.4625458291.

The spelling of 152669340 in words is "one hundred fifty-two million, six hundred sixty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 9749 15660 19498 29247 38996 48745 58494 87741 97490 116988 146235 175482 194980 263223 282721 292470 350964 438705 526446 565442 584940 848163 877410 1052892 1130884 1316115 1413605 1696326 1754820 2544489 2632230 2827210 3392652 4240815 5088978 5264460 5654420 7633467 8481630 10177956 12722445 15266934 16963260 25444890 30533868 38167335 50889780 76334670 152669340