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152203040 = 25511175087
BaseRepresentation
bin10010001001001…
…10111100100000
3101121101201022122
421010212330200
5302430444130
623034123412
73525463433
oct1104467440
9347351278
10152203040
1178a07440
1242b80568
13256c0892
14162dd81a
15d5672e5
hex9126f20

152203040 has 96 divisors (see below), whose sum is σ = 415425024. Its totient is φ = 52080640.

The previous prime is 152203033. The next prime is 152203099. The reversal of 152203040 is 40302251.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 27377 + ... + 32463.

It is an arithmetic number, because the mean of its divisors is an integer number (4327344).

Almost surely, 2152203040 is an apocalyptic number.

152203040 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 152203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207712512).

152203040 is an abundant number, since it is smaller than the sum of its proper divisors (263221984).

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

152203040 is a wasteful number, since it uses less digits than its factorization.

152203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 152203040 is about 12337.0596172670. The cubic root of 152203040 is about 533.9178522047.

Adding to 152203040 its reverse (40302251), we get a palindrome (192505291).

The spelling of 152203040 in words is "one hundred fifty-two million, two hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1760 1870 2720 2992 3740 5087 5984 7480 10174 14960 20348 25435 29920 40696 50870 55957 81392 86479 101740 111914 162784 172958 203480 223828 279785 345916 406960 432395 447656 559570 691832 813920 864790 895312 951269 1119140 1383664 1729580 1790624 1902538 2238280 2767328 3459160 3805076 4476560 4756345 6918320 7610152 8953120 9512690 13836640 15220304 19025380 30440608 38050760 76101520 152203040