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153014140 = 22531475989
BaseRepresentation
bin10010001111011…
…00111101111100
3101122220220221101
421013230331330
5303132423030
623103342444
73535412236
oct1107547574
9348826841
10153014140
1179410874
12432b1a24
1325915b16
1416471256
15d6777ca
hex91ecf7c

153014140 has 96 divisors (see below), whose sum is σ = 348364800. Its totient is φ = 56348160.

The previous prime is 153014137. The next prime is 153014153. The reversal of 153014140 is 41410351.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1719216 + ... + 1719304.

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

Almost surely, 2153014140 is an apocalyptic number.

153014140 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 153014140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

153014140 is an abundant number, since it is smaller than the sum of its proper divisors (195350660).

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

153014140 is a wasteful number, since it uses less digits than its factorization.

153014140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 153014140 is about 12369.8884392706. Note that the first 3 decimals coincide. The cubic root of 153014140 is about 534.8646002013.

Adding to 153014140 its reverse (41410351), we get a palindrome (194424491).

The spelling of 153014140 in words is "one hundred fifty-three million, fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 47 59 62 89 94 118 124 155 178 188 235 236 295 310 356 445 470 590 620 890 940 1180 1457 1780 1829 2759 2773 2914 3658 4183 5251 5518 5546 5828 7285 7316 8366 9145 10502 11036 11092 13795 13865 14570 16732 18290 20915 21004 26255 27590 27730 29140 36580 41830 52510 55180 55460 83660 85963 105020 129673 162781 171926 246797 259346 325562 343852 429815 493594 518692 648365 651124 813905 859630 987188 1233985 1296730 1627810 1719260 2467970 2593460 3255620 4935940 7650707 15301414 30602828 38253535 76507070 153014140