Search a number
-
+
157243240 = 235711192687
BaseRepresentation
bin10010101111101…
…01011101101000
3101221212210011201
421113311131220
5310223240430
623334133544
73616355050
oct1127653550
9357783151
10157243240
118083a1a0
12447b12b4
1326766a4b
1416c52560
15dc108ca
hex95f5768

157243240 has 128 divisors (see below), whose sum is σ = 464486400. Its totient is φ = 46414080.

The previous prime is 157243223. The next prime is 157243243. The reversal of 157243240 is 42342751.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 157243199 and 157243208.

It is not an unprimeable number, because it can be changed into a prime (157243243) 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, 57177 + ... + 59863.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2157243240 is an apocalyptic number.

157243240 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 157243240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232243200).

157243240 is an abundant number, since it is smaller than the sum of its proper divisors (307243160).

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

157243240 is a wasteful number, since it uses less digits than its factorization.

157243240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 157243240 is about 12539.6666622363. Note that the first 5 decimals coincide. The cubic root of 157243240 is about 539.7475271527.

Adding to 157243240 its reverse (42342751), we get a palindrome (199585991).

The spelling of 157243240 in words is "one hundred fifty-seven million, two hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 19 20 22 28 35 38 40 44 55 56 70 76 77 88 95 110 133 140 152 154 190 209 220 266 280 308 380 385 418 440 532 616 665 760 770 836 1045 1064 1330 1463 1540 1672 2090 2660 2687 2926 3080 4180 5320 5374 5852 7315 8360 10748 11704 13435 14630 18809 21496 26870 29260 29557 37618 51053 53740 58520 59114 75236 94045 102106 107480 118228 147785 150472 188090 204212 206899 236456 255265 295570 357371 376180 408424 413798 510530 561583 591140 714742 752360 827596 1021060 1034495 1123166 1182280 1429484 1655192 1786855 2042120 2068990 2246332 2807915 2858968 3573710 3931081 4137980 4492664 5615830 7147420 7862162 8275960 11231660 14294840 15724324 19655405 22463320 31448648 39310810 78621620 157243240