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193501940 = 22553182549
BaseRepresentation
bin10111000100010…
…01101011110100
3111111002220202112
423202021223310
5344014030230
631111230152
74536511412
oct1342115364
9444086675
10193501940
119a254965
1254978358
13311206b8
141b9b02b2
1511ec3d95
hexb889af4

193501940 has 24 divisors (see below), whose sum is σ = 414023400. Its totient is φ = 75939968.

The previous prime is 193501933. The next prime is 193501999. The reversal of 193501940 is 49105391.

193501940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 47720464 + 145781476 = 6908^2 + 12074^2 .

It is a junction number, because it is equal to n+sod(n) for n = 193501897 and 193501906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90215 + ... + 92334.

It is an arithmetic number, because the mean of its divisors is an integer number (17250975).

Almost surely, 2193501940 is an apocalyptic number.

193501940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193501940 is an abundant number, since it is smaller than the sum of its proper divisors (220521460).

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

193501940 is a wasteful number, since it uses less digits than its factorization.

193501940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182611 (or 182609 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 193501940 is about 13910.4974749288. The cubic root of 193501940 is about 578.4002089355.

The spelling of 193501940 in words is "one hundred ninety-three million, five hundred one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 182549 365098 730196 912745 1825490 3650980 9675097 19350194 38700388 48375485 96750970 193501940