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62106993 = 34133349
BaseRepresentation
bin1110110011101…
…0110101110001
311022212100210000
43230322311301
5111344410433
610055100213
71352620644
oct354726561
9138770700
1062106993
113206a9a3
1218971669
13cb37000
148369a5b
1556bc113
hex3b3ad71

62106993 has 40 divisors (see below), whose sum is σ = 100793000. Its totient is φ = 38110176.

The previous prime is 62106971. The next prime is 62106997. The reversal of 62106993 is 39960126.

It can be written as a sum of positive squares in 4 ways, for example, as 12446784 + 49660209 = 3528^2 + 7047^2 .

It is not a de Polignac number, because 62106993 - 26 = 62106929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (62106997) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 177783 + ... + 178131.

It is an arithmetic number, because the mean of its divisors is an integer number (2519825).

Almost surely, 262106993 is an apocalyptic number.

It is an amenable number.

62106993 is a deficient number, since it is larger than the sum of its proper divisors (38686007).

62106993 is an equidigital number, since it uses as much as digits as its factorization.

62106993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 62106993 is about 7880.7990077149. The cubic root of 62106993 is about 396.0167003976.

It can be divided in two parts, 6210 and 6993, that added together give a triangular number (13203 = T162).

The spelling of 62106993 in words is "sixty-two million, one hundred six thousand, nine hundred ninety-three".

Divisors: 1 3 9 13 27 39 81 117 169 349 351 507 1047 1053 1521 2197 3141 4537 4563 6591 9423 13611 13689 19773 28269 40833 58981 59319 122499 176943 177957 367497 530829 766753 1592487 2300259 4777461 6900777 20702331 62106993