Search a number
-
+
421074480 = 24358212137
BaseRepresentation
bin11001000110010…
…001011000110000
31002100022210121010
4121012101120300
51330243340410
6105441030520
713302034251
oct3106213060
91070283533
10421074480
111a675a542
12b9025440
136930cac8
143dcccb28
1526e77c20
hex19191630

421074480 has 80 divisors (see below), whose sum is σ = 1307532384. Its totient is φ = 112097280.

The previous prime is 421074443. The next prime is 421074481. The reversal of 421074480 is 84470124.

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

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

It is not an unprimeable number, because it can be changed into a prime (421074481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195972 + ... + 198108.

Almost surely, 2421074480 is an apocalyptic number.

421074480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421074480 is an abundant number, since it is smaller than the sum of its proper divisors (886457904).

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

421074480 is a wasteful number, since it uses less digits than its factorization.

421074480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 421074480 is about 20520.0994149639. The cubic root of 421074480 is about 749.5253174097.

The spelling of 421074480 in words is "four hundred twenty-one million, seventy-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 821 1642 2137 2463 3284 4105 4274 4926 6411 6568 8210 8548 9852 10685 12315 12822 13136 16420 17096 19704 21370 24630 25644 32055 32840 34192 39408 42740 49260 51288 64110 65680 85480 98520 102576 128220 170960 197040 256440 512880 1754477 3508954 5263431 7017908 8772385 10526862 14035816 17544770 21053724 26317155 28071632 35089540 42107448 52634310 70179080 84214896 105268620 140358160 210537240 421074480