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152453970 = 232531531031
BaseRepresentation
bin10010001011001…
…00001101010010
3101121212110112100
421011210031102
5303012011340
623043341230
73530560134
oct1105441522
9347773470
10152453970
1179068a19
1243081816
132577ab66
1416367054
15d5b6830
hex9164352

152453970 has 96 divisors (see below), whose sum is σ = 417291264. Its totient is φ = 38563200.

The previous prime is 152453927. The next prime is 152453989. The reversal of 152453970 is 79354251.

152453970 is a `hidden beast` number, since 1 + 52 + 4 + 539 + 70 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147355 + ... + 148385.

It is an arithmetic number, because the mean of its divisors is an integer number (4346784).

Almost surely, 2152453970 is an apocalyptic number.

152453970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152453970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208645632).

152453970 is an abundant number, since it is smaller than the sum of its proper divisors (264837294).

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

152453970 is a wasteful number, since it uses less digits than its factorization.

152453970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 152453970 is about 12347.2251943503. The cubic root of 152453970 is about 534.2111061970.

The spelling of 152453970 in words is "one hundred fifty-two million, four hundred fifty-three thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 53 62 90 93 106 155 159 186 265 279 310 318 465 477 530 558 795 930 954 1031 1395 1590 1643 2062 2385 2790 3093 3286 4770 4929 5155 6186 8215 9279 9858 10310 14787 15465 16430 18558 24645 29574 30930 31961 46395 49290 54643 63922 73935 92790 95883 109286 147870 159805 163929 191766 273215 287649 319610 327858 479415 491787 546430 575298 819645 958830 983574 1438245 1639290 1693933 2458935 2876490 3387866 4917870 5081799 8469665 10163598 15245397 16939330 25408995 30490794 50817990 76226985 152453970