Search a number
-
+
152250240 = 2735179443
BaseRepresentation
bin10010001001100…
…10011110000000
3101121111010001210
421010302132000
5302434001430
623035130120
73526051152
oct1104623600
9347433053
10152250240
1178a3994a
1242ba3940
13257091cc
1416312ad2
15d5762b0
hex9132780

152250240 has 128 divisors (see below), whose sum is σ = 489110400. Its totient is φ = 40282112.

The previous prime is 152250223. The next prime is 152250247. The reversal of 152250240 is 42052251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152250247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343459 + ... + 343901.

It is an arithmetic number, because the mean of its divisors is an integer number (3821175).

Almost surely, 2152250240 is an apocalyptic number.

152250240 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 152250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244555200).

152250240 is an abundant number, since it is smaller than the sum of its proper divisors (336860160).

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

152250240 is a wasteful number, since it uses less digits than its factorization.

152250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 152250240 is about 12338.9724045400. The cubic root of 152250240 is about 533.9730379575.

The spelling of 152250240 in words is "one hundred fifty-two million, two hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 179 192 240 320 358 384 443 480 537 640 716 886 895 960 1074 1329 1432 1772 1790 1920 2148 2215 2658 2685 2864 3544 3580 4296 4430 5316 5370 5728 6645 7088 7160 8592 8860 10632 10740 11456 13290 14176 14320 17184 17720 21264 21480 22912 26580 28352 28640 34368 35440 42528 42960 53160 56704 57280 68736 70880 79297 85056 85920 106320 114560 141760 158594 170112 171840 212640 237891 283520 317188 343680 396485 425280 475782 634376 792970 850560 951564 1189455 1268752 1585940 1903128 2378910 2537504 3171880 3806256 4757820 5075008 6343760 7612512 9515640 10150016 12687520 15225024 19031280 25375040 30450048 38062560 50750080 76125120 152250240