Search a number
-
+
106423400 = 235217113277
BaseRepresentation
bin1100101011111…
…10010001101000
321102020212110102
412111332101220
5204221022100
614321004532
72431404206
oct625762150
9242225412
10106423400
1155089526
122b783748
1319082435
14101c4076
159522cd5
hex657e468

106423400 has 96 divisors (see below), whose sum is σ = 265262040. Its totient is φ = 39567360.

The previous prime is 106423379. The next prime is 106423423. The reversal of 106423400 is 4324601.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1196836 + 105226564 = 1094^2 + 10258^2 .

It is a super-2 number, since 2×1064234002 = 22651880135120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384062 + ... + 384338.

Almost surely, 2106423400 is an apocalyptic number.

106423400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132631020).

106423400 is an abundant number, since it is smaller than the sum of its proper divisors (158838640).

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

106423400 is a wasteful number, since it uses less digits than its factorization.

106423400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 106423400 is about 10316.1717705746. The cubic root of 106423400 is about 473.8916355150.

The spelling of 106423400 in words is "one hundred six million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 113 136 170 200 226 277 340 425 452 554 565 680 850 904 1108 1130 1385 1700 1921 2216 2260 2770 2825 3400 3842 4520 4709 5540 5650 6925 7684 9418 9605 11080 11300 13850 15368 18836 19210 22600 23545 27700 31301 37672 38420 47090 48025 55400 62602 76840 94180 96050 117725 125204 156505 188360 192100 235450 250408 313010 384200 470900 532117 626020 782525 941800 1064234 1252040 1565050 2128468 2660585 3130100 4256936 5321170 6260200 10642340 13302925 21284680 26605850 53211700 106423400