Search a number
-
+
151530240 = 283539461
BaseRepresentation
bin10010000100000…
…10101100000000
3101120010112102010
421002002230000
5302242431430
623011452520
73516662061
oct1102025400
9346115363
10151530240
1178597a04
12428b7140
1325516584
14161a6568
15d482cb0
hex9082b00

151530240 has 72 divisors (see below), whose sum is σ = 483961968. Its totient is φ = 40407040.

The previous prime is 151530229. The next prime is 151530251. The reversal of 151530240 is 42035151.

It is an interprime number because it is at equal distance from previous prime (151530229) and next prime (151530251).

It is a super-2 number, since 2×1515302402 = 45922827268915200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15891 + ... + 23570.

It is an arithmetic number, because the mean of its divisors is an integer number (6721694).

Almost surely, 2151530240 is an apocalyptic number.

151530240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151530240 is an abundant number, since it is smaller than the sum of its proper divisors (332431728).

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

151530240 is an equidigital number, since it uses as much as digits as its factorization.

151530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39485 (or 39471 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 151530240 is about 12309.7619798272. The cubic root of 151530240 is about 533.1299780278.

Adding to 151530240 its reverse (42035151), we get a palindrome (193565391).

The spelling of 151530240 in words is "one hundred fifty-one million, five hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 39461 78922 118383 157844 197305 236766 315688 394610 473532 591915 631376 789220 947064 1183830 1262752 1578440 1894128 2367660 2525504 3156880 3788256 4735320 5051008 6313760 7576512 9470640 10102016 12627520 15153024 18941280 25255040 30306048 37882560 50510080 75765120 151530240