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202977138 = 23713894177
BaseRepresentation
bin11000001100100…
…10111101110010
3112010221022021210
430012102331302
5403430232023
632050300550
75013164040
oct1406227562
9463838253
10202977138
11a4636801
1257b87756
133308a420
141cd59390
1512c46593
hexc192f72

202977138 has 64 divisors (see below), whose sum is σ = 505370880. Its totient is φ = 52918272.

The previous prime is 202977109. The next prime is 202977179. The reversal of 202977138 is 831779202.

202977138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 202977096 and 202977105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46506 + ... + 50682.

It is an arithmetic number, because the mean of its divisors is an integer number (7896420).

Almost surely, 2202977138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202977138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252685440).

202977138 is an abundant number, since it is smaller than the sum of its proper divisors (302393742).

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

202977138 is a wasteful number, since it uses less digits than its factorization.

202977138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291.

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 202977138 is about 14247.0045272682. The cubic root of 202977138 is about 587.6910022092.

The spelling of 202977138 in words is "two hundred two million, nine hundred seventy-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 89 91 178 182 267 273 534 546 623 1157 1246 1869 2314 3471 3738 4177 6942 8099 8354 12531 16198 24297 25062 29239 48594 54301 58478 87717 108602 162903 175434 325806 371753 380107 743506 760214 1115259 1140321 2230518 2280642 2602271 4832789 5204542 7806813 9665578 14498367 15613626 28996734 33829523 67659046 101488569 202977138