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140223360 = 2735199367
BaseRepresentation
bin10000101101110…
…10001110000000
3100202212002021210
420112322032000
5241344121420
621525250120
73321610314
oct1026721600
9322762253
10140223360
1172174982
123ab63940
1323087c04
14148a1b44
15c49c9e0
hex85ba380

140223360 has 128 divisors (see below), whose sum is σ = 450432000. Its totient is φ = 37103616.

The previous prime is 140223359. The next prime is 140223373. The reversal of 140223360 is 63322041.

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 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, 381897 + ... + 382263.

It is an arithmetic number, because the mean of its divisors is an integer number (3519000).

Almost surely, 2140223360 is an apocalyptic number.

140223360 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 140223360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225216000).

140223360 is an abundant number, since it is smaller than the sum of its proper divisors (310208640).

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

140223360 is a wasteful number, since it uses less digits than its factorization.

140223360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 140223360 is about 11841.5944872302. The cubic root of 140223360 is about 519.5254052419.

The spelling of 140223360 in words is "one hundred forty million, two hundred twenty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 199 240 320 367 384 398 480 597 640 734 796 960 995 1101 1194 1468 1592 1835 1920 1990 2202 2388 2936 2985 3184 3670 3980 4404 4776 5505 5872 5970 6368 7340 7960 8808 9552 11010 11744 11940 12736 14680 15920 17616 19104 22020 23488 23880 25472 29360 31840 35232 38208 44040 46976 47760 58720 63680 70464 73033 76416 88080 95520 117440 127360 140928 146066 176160 191040 219099 234880 292132 352320 365165 382080 438198 584264 704640 730330 876396 1095495 1168528 1460660 1752792 2190990 2337056 2921320 3505584 4381980 4674112 5842640 7011168 8763960 9348224 11685280 14022336 17527920 23370560 28044672 35055840 46741120 70111680 140223360