Search a number
-
+
466006080 = 2635485423
BaseRepresentation
bin11011110001101…
…011000001000000
31012110212120011110
4123301223001000
51423244143310
6114124043320
714355662211
oct3361530100
91173776143
10466006080
1121a0592a1
12110093540
1375712257
1445c67408
152ada0d20
hex1bc6b040

466006080 has 56 divisors (see below), whose sum is σ = 1479572352. Its totient is φ = 124268032.

The previous prime is 466006067. The next prime is 466006087. The reversal of 466006080 is 80600664.

It is a happy number.

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 (466006087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241752 + ... + 243671.

Almost surely, 2466006080 is an apocalyptic number.

466006080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

466006080 is an abundant number, since it is smaller than the sum of its proper divisors (1013566272).

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

466006080 is a wasteful number, since it uses less digits than its factorization.

466006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485443 (or 485433 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 466006080 is about 21587.1739697442. The cubic root of 466006080 is about 775.2894264119.

The spelling of 466006080 in words is "four hundred sixty-six million, six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 485423 970846 1456269 1941692 2427115 2912538 3883384 4854230 5825076 7281345 7766768 9708460 11650152 14562690 15533536 19416920 23300304 29125380 31067072 38833840 46600608 58250760 77667680 93201216 116501520 155335360 233003040 466006080