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193085340 = 223573791213
BaseRepresentation
bin10111000001000…
…11111110011100
3111110022202021220
423200203332130
5343412212330
631054253340
74533125010
oct1340437634
9443282256
10193085340
1199a9a968
12547b7250
1331005ba6
141b902540
1511e40710
hexb823f9c

193085340 has 96 divisors (see below), whose sum is σ = 620014080. Its totient is φ = 43981056.

The previous prime is 193085327. The next prime is 193085341. The reversal of 193085340 is 43580391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193085341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158574 + ... + 159786.

It is an arithmetic number, because the mean of its divisors is an integer number (6458480).

Almost surely, 2193085340 is an apocalyptic number.

193085340 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 193085340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310007040).

193085340 is an abundant number, since it is smaller than the sum of its proper divisors (426928740).

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

193085340 is a wasteful number, since it uses less digits than its factorization.

193085340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 193085340 is about 13895.5151038024. The cubic root of 193085340 is about 577.9848217819.

The spelling of 193085340 in words is "one hundred ninety-three million, eighty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 379 420 758 1137 1213 1516 1895 2274 2426 2653 3639 3790 4548 4852 5306 5685 6065 7278 7580 7959 8491 10612 11370 12130 13265 14556 15918 16982 18195 22740 24260 25473 26530 31836 33964 36390 39795 42455 50946 53060 72780 79590 84910 101892 127365 159180 169820 254730 459727 509460 919454 1379181 1838908 2298635 2758362 3218089 4597270 5516724 6436178 6895905 9194540 9654267 12872356 13791810 16090445 19308534 27583620 32180890 38617068 48271335 64361780 96542670 193085340