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193069240 = 235713293159
BaseRepresentation
bin10111000001000…
…00000010111000
3111110021221012121
423200200002320
5343411203430
631054051024
74533030040
oct1340400270
9443257177
10193069240
1199a89861
12547a9a74
1330ccb770
141b8da720
1511e3aa7a
hexb8200b8

193069240 has 256 divisors, whose sum is σ = 580608000. Its totient is φ = 56125440.

The previous prime is 193069231. The next prime is 193069307. The reversal of 193069240 is 42960391.

It is a junction number, because it is equal to n+sod(n) for n = 193069196 and 193069205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3272331 + ... + 3272389.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 2193069240 is an apocalyptic number.

193069240 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 193069240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304000).

193069240 is an abundant number, since it is smaller than the sum of its proper divisors (387538760).

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

193069240 is a wasteful number, since it uses less digits than its factorization.

193069240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

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

The square root of 193069240 is about 13894.9357681135. The cubic root of 193069240 is about 577.9687566674.

The spelling of 193069240 in words is "one hundred ninety-three million, sixty-nine thousand, two hundred forty".