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59193940 = 22513283211
BaseRepresentation
bin1110000111001…
…1101001010100
311010101100211011
43201303221110
5110123201230
65512422004
71316066041
oct341635124
9133340734
1059193940
1130460313
12179a7904
13c357100
147c0c1c8
1552e3e2a
hex3873a54

59193940 has 72 divisors (see below), whose sum is σ = 136872288. Its totient is φ = 21490560.

The previous prime is 59193931. The next prime is 59193941. The reversal of 59193940 is 4939195.

59193940 = T313 + T314 + ... + T727.

59193940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 59193893 and 59193902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59193941) 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 23 ways as a sum of consecutive naturals, for example, 280435 + ... + 280645.

It is an arithmetic number, because the mean of its divisors is an integer number (1901004).

Almost surely, 259193940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59193940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68436144).

59193940 is an abundant number, since it is smaller than the sum of its proper divisors (77678348).

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

59193940 is a wasteful number, since it uses less digits than its factorization.

59193940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 40.

The square root of 59193940 is about 7693.7598090920. The cubic root of 59193940 is about 389.7257330934.

The spelling of 59193940 in words is "fifty-nine million, one hundred ninety-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 83 130 166 169 211 260 332 338 415 422 676 830 844 845 1055 1079 1660 1690 2110 2158 2743 3380 4220 4316 5395 5486 10790 10972 13715 14027 17513 21580 27430 28054 35026 35659 54860 56108 70052 70135 71318 87565 140270 142636 175130 178295 227669 280540 350260 356590 455338 713180 910676 1138345 2276690 2959697 4553380 5919394 11838788 14798485 29596970 59193940