Search a number
-
+
106003734 = 2323977919
BaseRepresentation
bin1100101000101…
…11110100010110
321101110112210020
412110113310112
5204114104414
614304010010
72425005534
oct624276426
9241415706
10106003734
11549221a1
122b600906
1318c66405
1410115154
15948d7a9
hex6517d16

106003734 has 32 divisors (see below), whose sum is σ = 223534080. Its totient is φ = 33445632.

The previous prime is 106003727. The next prime is 106003739. The reversal of 106003734 is 437300601.

106003734 = T32 + T33 + ... + T859.

It is a super-2 number, since 2×1060037342 = 22473583243885512, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9427 + ... + 17345.

It is an arithmetic number, because the mean of its divisors is an integer number (6985440).

Almost surely, 2106003734 is an apocalyptic number.

106003734 is an abundant number, since it is smaller than the sum of its proper divisors (117530346).

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

106003734 is a wasteful number, since it uses less digits than its factorization.

106003734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8044.

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 106003734 is about 10295.8114784605. The cubic root of 106003734 is about 473.2679061631.

The spelling of 106003734 in words is "one hundred six million, three thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 23 46 69 97 138 194 291 582 2231 4462 6693 7919 13386 15838 23757 47514 182137 364274 546411 768143 1092822 1536286 2304429 4608858 17667289 35334578 53001867 106003734