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189002240 = 295753199
BaseRepresentation
bin10110100001111…
…11001000000000
3111011122022022222
423100333020000
5341341032430
630430550212
74453330640
oct1320771000
9434568288
10189002240
11977611a9
1253368368
133020655b
141b15c520
15118d59e5
hexb43f200

189002240 has 160 divisors (see below), whose sum is σ = 530323200. Its totient is φ = 63258624.

The previous prime is 189002227. The next prime is 189002267. The reversal of 189002240 is 42200981.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

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, 949661 + ... + 949859.

It is an arithmetic number, because the mean of its divisors is an integer number (3314520).

Almost surely, 2189002240 is an apocalyptic number.

189002240 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 189002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265161600).

189002240 is an abundant number, since it is smaller than the sum of its proper divisors (341320960).

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

189002240 is an equidigital number, since it uses as much as digits as its factorization.

189002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 189002240 is about 13747.8085526385. The cubic root of 189002240 is about 573.8816220005.

The spelling of 189002240 in words is "one hundred eighty-nine million, two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 70 80 106 112 128 140 160 199 212 224 256 265 280 320 371 398 424 448 512 530 560 640 742 796 848 896 995 1060 1120 1280 1393 1484 1592 1696 1792 1855 1990 2120 2240 2560 2786 2968 3184 3392 3584 3710 3980 4240 4480 5572 5936 6368 6784 6965 7420 7960 8480 8960 10547 11144 11872 12736 13568 13930 14840 15920 16960 17920 21094 22288 23744 25472 27136 27860 29680 31840 33920 42188 44576 47488 50944 52735 55720 59360 63680 67840 73829 84376 89152 94976 101888 105470 111440 118720 127360 135680 147658 168752 178304 189952 210940 222880 237440 254720 295316 337504 356608 369145 421880 445760 474880 509440 590632 675008 713216 738290 843760 891520 949760 1181264 1350016 1476580 1687520 1783040 2362528 2700032 2953160 3375040 3566080 4725056 5400064 5906320 6750080 9450112 11812640 13500160 18900224 23625280 27000320 37800448 47250560 94501120 189002240