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106474000 = 2453139383
BaseRepresentation
bin1100101100010…
…10101000010000
321102100102212111
412112022220100
5204224132000
614322035104
72432004553
oct626125020
9242312774
10106474000
1155113546
122b7a8a94
131909c489
14101d869a
159532cba
hex658aa10

106474000 has 80 divisors (see below), whose sum is σ = 259983360. Its totient is φ = 42172800.

The previous prime is 106473989. The next prime is 106474001. The reversal of 106474000 is 474601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1064740002 = 22673425352000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106474001) 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, 277809 + ... + 278191.

It is an arithmetic number, because the mean of its divisors is an integer number (3249792).

Almost surely, 2106474000 is an apocalyptic number.

106474000 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 106474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

106474000 is an abundant number, since it is smaller than the sum of its proper divisors (153509360).

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

106474000 is a wasteful number, since it uses less digits than its factorization.

106474000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 106474000 is about 10318.6239392663. The cubic root of 106474000 is about 473.9667290171.

The spelling of 106474000 in words is "one hundred six million, four hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 139 200 250 278 383 400 500 556 695 766 1000 1112 1390 1532 1915 2000 2224 2780 3064 3475 3830 5560 6128 6950 7660 9575 11120 13900 15320 17375 19150 27800 30640 34750 38300 47875 53237 55600 69500 76600 95750 106474 139000 153200 191500 212948 266185 278000 383000 425896 532370 766000 851792 1064740 1330925 2129480 2661850 4258960 5323700 6654625 10647400 13309250 21294800 26618500 53237000 106474000