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193661620 = 225174712119
BaseRepresentation
bin10111000101100…
…00101010110100
3111111102000210121
423202300222310
5344034132440
631114501324
74541045065
oct1342605264
9444360717
10193661620
119a353929
1254a34844
1331178299
141ba1256c
151200634a
hexb8b0ab4

193661620 has 48 divisors (see below), whose sum is σ = 439810560. Its totient is φ = 71350784.

The previous prime is 193661599. The next prime is 193661621. The reversal of 193661620 is 26166391.

It is a super-2 number, since 2×1936616202 = 75009646122048800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193661621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9921 + ... + 22039.

It is an arithmetic number, because the mean of its divisors is an integer number (9162720).

Almost surely, 2193661620 is an apocalyptic number.

193661620 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 193661620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219905280).

193661620 is an abundant number, since it is smaller than the sum of its proper divisors (246148940).

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

193661620 is a wasteful number, since it uses less digits than its factorization.

193661620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12192 (or 12190 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 193661620 is about 13916.2358416348. The cubic root of 193661620 is about 578.5592660002.

The spelling of 193661620 in words is "one hundred ninety-three million, six hundred sixty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 170 188 235 340 470 799 940 1598 3196 3995 7990 12119 15980 24238 48476 60595 121190 206023 242380 412046 569593 824092 1030115 1139186 2060230 2278372 2847965 4120460 5695930 9683081 11391860 19366162 38732324 48415405 96830810 193661620