Search a number
-
+
106003779 = 3737227601
BaseRepresentation
bin1100101000101…
…11110101000011
321101110112211220
412110113311003
5204114110104
614304010123
72425005630
oct624276503
9241415756
10106003779
1154922232
122b600943
1318c6643b
1410115187
15948d7d9
hex6517d43

106003779 has 32 divisors (see below), whose sum is σ = 166903296. Its totient is φ = 58579200.

The previous prime is 106003741. The next prime is 106003783. The reversal of 106003779 is 977300601.

It is a de Polignac number, because none of the positive numbers 2k-106003779 is a prime.

It is a super-2 number, since 2×1060037792 = 22473602324561682, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106003739) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176079 + ... + 176679.

It is an arithmetic number, because the mean of its divisors is an integer number (5215728).

Almost surely, 2106003779 is an apocalyptic number.

106003779 is a deficient number, since it is larger than the sum of its proper divisors (60899517).

106003779 is a wasteful number, since it uses less digits than its factorization.

106003779 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875.

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 106003779 is about 10295.8136638150. The cubic root of 106003779 is about 473.2679731326.

The spelling of 106003779 in words is "one hundred six million, three thousand, seven hundred seventy-nine".

Divisors: 1 3 7 21 37 111 227 259 601 681 777 1589 1803 4207 4767 8399 12621 22237 25197 58793 66711 136427 155659 176379 409281 466977 954989 2864967 5047799 15143397 35334593 106003779