Search a number
-
+
152665000 = 2354191607
BaseRepresentation
bin10010001100101…
…11101110101000
3101122021012000021
421012113232220
5303040240000
623052050224
73532426315
oct1106275650
9348235007
10152665000
11791a2524
1243163974
1325822c27
14163bdd0c
15d60911a
hex9197ba8

152665000 has 80 divisors (see below), whose sum is σ = 376754400. Its totient is φ = 57816000.

The previous prime is 152664979. The next prime is 152665003. The reversal of 152665000 is 566251.

152665000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (152665003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94197 + ... + 95803.

It is an arithmetic number, because the mean of its divisors is an integer number (4709430).

Almost surely, 2152665000 is an apocalyptic number.

152665000 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 152665000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188377200).

152665000 is an abundant number, since it is smaller than the sum of its proper divisors (224089400).

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

152665000 is a wasteful number, since it uses less digits than its factorization.

152665000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 152665000 is about 12355.7678838670. The cubic root of 152665000 is about 534.4574813120.

The spelling of 152665000 in words is "one hundred fifty-two million, six hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 625 760 950 1000 1250 1607 1900 2375 2500 3214 3800 4750 5000 6428 8035 9500 11875 12856 16070 19000 23750 30533 32140 40175 47500 61066 64280 80350 95000 122132 152665 160700 200875 244264 305330 321400 401750 610660 763325 803500 1004375 1221320 1526650 1607000 2008750 3053300 3816625 4017500 6106600 7633250 8035000 15266500 19083125 30533000 38166250 76332500 152665000