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193813080 = 233511314293
BaseRepresentation
bin10111000110101…
…01101001011000
3111111200201120020
423203111221120
5344104004310
631122030440
74542245466
oct1343255130
9444621506
10193813080
119a4476aa
1254aa8420
13311cc1c6
141ba51836
1512036170
hexb8d5a58

193813080 has 64 divisors (see below), whose sum is σ = 586625760. Its totient is φ = 51222528.

The previous prime is 193813069. The next prime is 193813093. The reversal of 193813080 is 80318391.

193813080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6414 + ... + 20706.

Almost surely, 2193813080 is an apocalyptic number.

193813080 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 193813080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293312880).

193813080 is an abundant number, since it is smaller than the sum of its proper divisors (392812680).

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

193813080 is a wasteful number, since it uses less digits than its factorization.

193813080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14420 (or 14416 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 193813080 is about 13921.6766231658. The cubic root of 193813080 is about 578.7100543564.

The spelling of 193813080 in words is "one hundred ninety-three million, eight hundred thirteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4520 6780 13560 14293 28586 42879 57172 71465 85758 114344 142930 171516 214395 285860 343032 428790 571720 857580 1615109 1715160 3230218 4845327 6460436 8075545 9690654 12920872 16151090 19381308 24226635 32302180 38762616 48453270 64604360 96906540 193813080