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152024120 = 23537591741
BaseRepresentation
bin10010000111110…
…11010000111000
3101121001121212222
421003323100320
5302404232440
623030223212
73524120003
oct1103732070
9347047788
10152024120
11788a4a76
1242ab4b08
132565a301
141629453a
15d52e2b5
hex90fb438

152024120 has 64 divisors (see below), whose sum is σ = 357458400. Its totient is φ = 58129920.

The previous prime is 152024113. The next prime is 152024137. The reversal of 152024120 is 21420251.

It is a super-2 number, since 2×1520241202 = 46222666123548800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86450 + ... + 88190.

Almost surely, 2152024120 is an apocalyptic number.

152024120 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 152024120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178729200).

152024120 is an abundant number, since it is smaller than the sum of its proper divisors (205434280).

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

152024120 is a wasteful number, since it uses less digits than its factorization.

152024120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 152024120 is about 12329.8061623044. The cubic root of 152024120 is about 533.7085571320.

Adding to 152024120 its reverse (21420251), we get a palindrome (173444371).

The spelling of 152024120 in words is "one hundred fifty-two million, twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 59 74 118 148 185 236 295 296 370 472 590 740 1180 1480 1741 2183 2360 3482 4366 6964 8705 8732 10915 13928 17410 17464 21830 34820 43660 64417 69640 87320 102719 128834 205438 257668 322085 410876 513595 515336 644170 821752 1027190 1288340 2054380 2576680 3800603 4108760 7601206 15202412 19003015 30404824 38006030 76012060 152024120