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153124040 = 235191131783
BaseRepresentation
bin10010010000001…
…11110011001000
3101200010111200202
421020013303020
5303144432130
623105551332
73536350526
oct1110076310
9350114622
10153124040
11794863a3
1243345548
1325953b54
141649d316
15d69a145
hex9207cc8

153124040 has 64 divisors (see below), whose sum is σ = 366076800. Its totient is φ = 57480192.

The previous prime is 153124039. The next prime is 153124043. The reversal of 153124040 is 40421351.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (153124043) by changing a digit.

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, 84989 + ... + 86771.

It is an arithmetic number, because the mean of its divisors is an integer number (5719950).

Almost surely, 2153124040 is an apocalyptic number.

153124040 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 153124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183038400).

153124040 is an abundant number, since it is smaller than the sum of its proper divisors (212952760).

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

153124040 is a wasteful number, since it uses less digits than its factorization.

153124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 153124040 is about 12374.3298808461. The cubic root of 153124040 is about 534.9926222525.

Adding to 153124040 its reverse (40421351), we get a palindrome (193545391).

The spelling of 153124040 in words is "one hundred fifty-three million, one hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 113 152 190 226 380 452 565 760 904 1130 1783 2147 2260 3566 4294 4520 7132 8588 8915 10735 14264 17176 17830 21470 33877 35660 42940 67754 71320 85880 135508 169385 201479 271016 338770 402958 677540 805916 1007395 1355080 1611832 2014790 3828101 4029580 7656202 8059160 15312404 19140505 30624808 38281010 76562020 153124040