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152340240 = 243513157311
BaseRepresentation
bin10010001010010…
…00011100010000
3101121122200112010
421011020130100
5302444341430
623041102520
73526604433
oct1105103420
9347580463
10152340240
1178aa0528
1243027a40
132573b170
141633781a
15d592cb0
hex9148710

152340240 has 160 divisors (see below), whose sum is σ = 513467136. Its totient is φ = 37140480.

The previous prime is 152340229. The next prime is 152340299. The reversal of 152340240 is 42043251.

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, 489685 + ... + 489995.

Almost surely, 2152340240 is an apocalyptic number.

152340240 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 152340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256733568).

152340240 is an abundant number, since it is smaller than the sum of its proper divisors (361126896).

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

152340240 is a wasteful number, since it uses less digits than its factorization.

152340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 152340240 is about 12342.6188469060. The cubic root of 152340240 is about 534.0782334284.

Adding to 152340240 its reverse (42043251), we get a palindrome (194383491).

The spelling of 152340240 in words is "one hundred fifty-two million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 157 195 208 240 260 311 312 314 390 471 520 622 624 628 780 785 933 942 1040 1244 1256 1555 1560 1570 1866 1884 2041 2355 2488 2512 3110 3120 3140 3732 3768 4043 4082 4665 4710 4976 6123 6220 6280 7464 7536 8086 8164 9330 9420 10205 12129 12246 12440 12560 14928 16172 16328 18660 18840 20215 20410 24258 24492 24880 30615 32344 32656 37320 37680 40430 40820 48516 48827 48984 60645 61230 64688 74640 80860 81640 97032 97654 97968 121290 122460 146481 161720 163280 194064 195308 242580 244135 244920 292962 323440 390616 485160 488270 489840 585924 634751 732405 781232 970320 976540 1171848 1269502 1464810 1904253 1953080 2343696 2539004 2929620 3173755 3808506 3906160 5078008 5859240 6347510 7617012 9521265 10156016 11718480 12695020 15234024 19042530 25390040 30468048 38085060 50780080 76170120 152340240