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193053000 = 23353729317
BaseRepresentation
bin10111000000111…
…00000101001000
3111110021002221010
423200130011020
5343410144000
631053443520
74532631510
oct1340340510
9443232833
10193053000
1199a78638
12547a05a0
1330cc425a
141b8d4840
1511e35d50
hexb81c148

193053000 has 256 divisors, whose sum is σ = 714355200. Its totient is φ = 42470400.

The previous prime is 193052999. The next prime is 193053001. The reversal of 193053000 is 350391.

It is an interprime number because it is at equal distance from previous prime (193052999) and next prime (193053001).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (193053001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 608842 + ... + 609158.

It is an arithmetic number, because the mean of its divisors is an integer number (2790450).

Almost surely, 2193053000 is an apocalyptic number.

193053000 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 193053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357177600).

193053000 is an abundant number, since it is smaller than the sum of its proper divisors (521302200).

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

193053000 is a wasteful number, since it uses less digits than its factorization.

193053000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 193053000 is about 13894.3513702511. The cubic root of 193053000 is about 577.9525509514.

The spelling of 193053000 in words is "one hundred ninety-three million, fifty-three thousand".