Search a number
-
+
10674480 = 243579563
BaseRepresentation
bin101000101110…
…000100110000
3202002022122010
4220232010300
510213040410
61020442520
7156505635
oct50560460
922068563
1010674480
116030993
1236a9440
13229987b
1415bc18c
15e0cc20
hexa2e130

10674480 has 80 divisors (see below), whose sum is σ = 33569280. Its totient is φ = 2805504.

The previous prime is 10674467. The next prime is 10674497. The reversal of 10674480 is 8447601.

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

It is a super-2 number, since 2×106744802 = 227889046540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18679 + ... + 19241.

It is an arithmetic number, because the mean of its divisors is an integer number (419616).

Almost surely, 210674480 is an apocalyptic number.

10674480 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 10674480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16784640).

10674480 is an abundant number, since it is smaller than the sum of its proper divisors (22894800).

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

10674480 is a wasteful number, since it uses less digits than its factorization.

10674480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 10674480 is about 3267.1822722340. The cubic root of 10674480 is about 220.1822181795.

Adding to 10674480 its sum of digits (30), we get a triangular number (10674510 = T4620).

The spelling of 10674480 in words is "ten million, six hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 563 632 790 948 1126 1185 1264 1580 1689 1896 2252 2370 2815 3160 3378 3792 4504 4740 5630 6320 6756 8445 9008 9480 11260 13512 16890 18960 22520 27024 33780 44477 45040 67560 88954 133431 135120 177908 222385 266862 355816 444770 533724 667155 711632 889540 1067448 1334310 1779080 2134896 2668620 3558160 5337240 10674480