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193730940 = 22345139199
BaseRepresentation
bin10111000110000…
…01100101111100
3111111112112220000
423203001211330
5344043342230
631120154300
74541454144
oct1343014574
9444475800
10193730940
119a3a0a17
1254a68990
13311a09c0
141ba2d924
151201bb60
hexb8c197c

193730940 has 120 divisors (see below), whose sum is σ = 654561600. Its totient is φ = 47682432.

The previous prime is 193730939. The next prime is 193730981. The reversal of 193730940 is 49037391.

193730940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1937309402 = 75063354226567200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 193730895 and 193730904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16461 + ... + 25659.

It is an arithmetic number, because the mean of its divisors is an integer number (5454680).

Almost surely, 2193730940 is an apocalyptic number.

193730940 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 193730940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327280800).

193730940 is an abundant number, since it is smaller than the sum of its proper divisors (460830660).

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

193730940 is a wasteful number, since it uses less digits than its factorization.

193730940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9233 (or 9222 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 193730940 is about 13918.7262348248. The cubic root of 193730940 is about 578.6282883566.

The spelling of 193730940 in words is "one hundred ninety-three million, seven hundred thirty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 9199 10530 18398 21060 27597 36796 45995 55194 82791 91990 110388 119587 137985 165582 183980 239174 248373 275970 331164 358761 413955 478348 496746 551940 597935 717522 745119 827910 993492 1076283 1195870 1241865 1435044 1490238 1655820 1793805 2152566 2391740 2483730 2980476 3228849 3587610 3725595 4305132 4967460 5381415 6457698 7175220 7451190 9686547 10762830 12915396 14902380 16144245 19373094 21525660 32288490 38746188 48432735 64576980 96865470 193730940