Search a number
-
+
152443900 = 22527253587
BaseRepresentation
bin10010001011000…
…01101111111100
3101121211221201101
421011201233330
5303011201100
623043222444
73530515600
oct1105415774
9347757641
10152443900
11790613a4
1243077a24
13257763bb
1416363500
15d5b386a
hex9161bfc

152443900 has 108 divisors (see below), whose sum is σ = 392740488. Its totient is φ = 51192960.

The previous prime is 152443891. The next prime is 152443933. The reversal of 152443900 is 9344251.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 259407 + ... + 259993.

It is an arithmetic number, because the mean of its divisors is an integer number (3636486).

Almost surely, 2152443900 is an apocalyptic number.

152443900 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 152443900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196370244).

152443900 is an abundant number, since it is smaller than the sum of its proper divisors (240296588).

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

152443900 is a wasteful number, since it uses less digits than its factorization.

152443900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 152443900 is about 12346.8174036875. The cubic root of 152443900 is about 534.1993439051.

The spelling of 152443900 in words is "one hundred fifty-two million, four hundred forty-three thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 53 70 98 100 106 140 175 196 212 245 265 350 371 490 530 587 700 742 980 1060 1174 1225 1325 1484 1855 2348 2450 2597 2650 2935 3710 4109 4900 5194 5300 5870 7420 8218 9275 10388 11740 12985 14675 16436 18550 20545 25970 28763 29350 31111 37100 41090 51940 57526 58700 62222 64925 82180 102725 115052 124444 129850 143815 155555 205450 217777 259700 287630 311110 410900 435554 575260 622220 719075 777775 871108 1088885 1438150 1524439 1555550 2177770 2876300 3048878 3111100 4355540 5444425 6097756 7622195 10888850 15244390 21777700 30488780 38110975 76221950 152443900