Search a number
-
+
465380720 = 2457831037
BaseRepresentation
bin11011101111010…
…010010101110000
31012102200210022222
4123233102111300
51423114140340
6114102420212
714350446050
oct3357222560
91172623288
10465380720
11219771472
1210ba31668
137555370c
1445b43560
152acca8b5
hex1bbd2570

465380720 has 40 divisors (see below), whose sum is σ = 1236584544. Its totient is φ = 159558912.

The previous prime is 465380717. The next prime is 465380749. The reversal of 465380720 is 27083564.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 414959 + ... + 416078.

Almost surely, 2465380720 is an apocalyptic number.

465380720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465380720 is an abundant number, since it is smaller than the sum of its proper divisors (771203824).

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

465380720 is a wasteful number, since it uses less digits than its factorization.

465380720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831057 (or 831051 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 465380720 is about 21572.6845802742. The cubic root of 465380720 is about 774.9424695415.

The spelling of 465380720 in words is "four hundred sixty-five million, three hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 831037 1662074 3324148 4155185 5817259 6648296 8310370 11634518 13296592 16620740 23269036 29086295 33241480 46538072 58172590 66482960 93076144 116345180 232690360 465380720