Search a number
-
+
468071220 = 22358099643
BaseRepresentation
bin11011111001100…
…011001100110100
31012121202111000010
4123321203030310
51424311234340
6114240220220
714412353061
oct3371431464
91177674003
10468071220
11220239921
1211090a670
1375c86226
1446243c68
152b15cb80
hex1be63334

468071220 has 48 divisors (see below), whose sum is σ = 1312355520. Its totient is φ = 124651776.

The previous prime is 468071189. The next prime is 468071231. The reversal of 468071220 is 22170864.

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

It is a congruent number.

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, 43719 + ... + 53361.

It is an arithmetic number, because the mean of its divisors is an integer number (27340740).

Almost surely, 2468071220 is an apocalyptic number.

It is an amenable number.

468071220 is an abundant number, since it is smaller than the sum of its proper divisors (844284300).

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

468071220 is a wasteful number, since it uses less digits than its factorization.

468071220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10464 (or 10462 counting only the distinct ones).

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

The square root of 468071220 is about 21634.9536629964. The cubic root of 468071220 is about 776.4329893950.

The spelling of 468071220 in words is "four hundred sixty-eight million, seventy-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 809 1618 2427 3236 4045 4854 8090 9643 9708 12135 16180 19286 24270 28929 38572 48215 48540 57858 96430 115716 144645 192860 289290 578580 7801187 15602374 23403561 31204748 39005935 46807122 78011870 93614244 117017805 156023740 234035610 468071220