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152737340 = 225710910009
BaseRepresentation
bin10010001101010…
…01011000111100
3101122101212020112
421012221120330
5303100043330
623053405152
73533150240
oct1106513074
9348355215
10152737340
1179241908
12431997b8
1325849b32
14163dc420
15d620795
hex91a963c

152737340 has 48 divisors (see below), whose sum is σ = 369969600. Its totient is φ = 51881472.

The previous prime is 152737339. The next prime is 152737363. The reversal of 152737340 is 43737251.

It is a junction number, because it is equal to n+sod(n) for n = 152737297 and 152737306.

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, 10256 + ... + 20264.

It is an arithmetic number, because the mean of its divisors is an integer number (7707700).

Almost surely, 2152737340 is an apocalyptic number.

152737340 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 152737340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184984800).

152737340 is an abundant number, since it is smaller than the sum of its proper divisors (217232260).

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

152737340 is a wasteful number, since it uses less digits than its factorization.

152737340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10134 (or 10132 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 152737340 is about 12358.6949149172. The cubic root of 152737340 is about 534.5418851790.

The spelling of 152737340 in words is "one hundred fifty-two million, seven hundred thirty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 109 140 218 436 545 763 1090 1526 2180 3052 3815 7630 10009 15260 20018 40036 50045 70063 100090 140126 200180 280252 350315 700630 1090981 1401260 2181962 4363924 5454905 7636867 10909810 15273734 21819620 30547468 38184335 76368670 152737340