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202740928 = 2613673637
BaseRepresentation
bin11000001010110…
…01010011000000
3112010111022021021
430011121103000
5403400202203
632041235224
75011161265
oct1405312300
9463438237
10202740928
11a4495295
1257a92b14
1333006a60
141ccd726c
1512beb5bd
hexc1594c0

202740928 has 56 divisors (see below), whose sum is σ = 439848752. Its totient is φ = 92150784.

The previous prime is 202740907. The next prime is 202741013. The reversal of 202740928 is 829047202.

It is a super-2 number, since 2×2027409282 = 82207767772602368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202740893 and 202740902.

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, 53926 + ... + 57562.

It is an arithmetic number, because the mean of its divisors is an integer number (7854442).

Almost surely, 2202740928 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 202740928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219924376).

202740928 is an abundant number, since it is smaller than the sum of its proper divisors (237107824).

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

202740928 is a wasteful number, since it uses less digits than its factorization.

202740928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 202740928 is about 14238.7123013284. The cubic root of 202740928 is about 587.4629430678.

The spelling of 202740928 in words is "two hundred two million, seven hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 134 208 268 416 536 832 871 1072 1742 2144 3484 3637 4288 6968 7274 13936 14548 27872 29096 47281 55744 58192 94562 116384 189124 232768 243679 378248 487358 756496 974716 1512992 1949432 3025984 3167827 3898864 6335654 7797728 12671308 15595456 25342616 50685232 101370464 202740928