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193821030 = 232513212743
BaseRepresentation
bin10111000110101…
…11100101100110
3111111201010110200
423203113211212
5344104233110
631122131330
74542310614
oct1343274546
9444633420
10193821030
119a452677
1254ab0b46
1331202a00
141ba546b4
15120386c0
hexb8d7966

193821030 has 72 divisors (see below), whose sum is σ = 545723568. Its totient is φ = 47706048.

The previous prime is 193820993. The next prime is 193821037. The reversal of 193821030 is 30128391.

It is a junction number, because it is equal to n+sod(n) for n = 193820985 and 193821003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193821037) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8839 + ... + 21581.

It is an arithmetic number, because the mean of its divisors is an integer number (7579494).

Almost surely, 2193821030 is an apocalyptic number.

193821030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 193821030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272861784).

193821030 is an abundant number, since it is smaller than the sum of its proper divisors (351902538).

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

193821030 is a wasteful number, since it uses less digits than its factorization.

193821030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12782 (or 12766 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 193821030 is about 13921.9621461919. The cubic root of 193821030 is about 578.7179669321.

The spelling of 193821030 in words is "one hundred ninety-three million, eight hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2535 3042 5070 7605 12743 15210 25486 38229 63715 76458 114687 127430 165659 191145 229374 331318 382290 496977 573435 828295 993954 1146870 1490931 1656590 2153567 2484885 2981862 4307134 4969770 6460701 7454655 10767835 12921402 14909310 19382103 21535670 32303505 38764206 64607010 96910515 193821030