Search a number
-
+
464113560 = 23357352981
BaseRepresentation
bin11011101010011…
…100111110011000
31012100022102010010
4123222130332120
51422303113220
6114015321520
714333620521
oct3352347630
91170272103
10464113560
11218a86429
1210b5202a0
13751cba11
14458d3848
152ab2a1e0
hex1ba9cf98

464113560 has 64 divisors (see below), whose sum is σ = 1411440480. Its totient is φ = 122065920.

The previous prime is 464113547. The next prime is 464113591. The reversal of 464113560 is 65311464.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17731 + ... + 35250.

Almost surely, 2464113560 is an apocalyptic number.

464113560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464113560 is an abundant number, since it is smaller than the sum of its proper divisors (947326920).

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

464113560 is a wasteful number, since it uses less digits than its factorization.

464113560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53068 (or 53064 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 464113560 is about 21543.2950126019. The cubic root of 464113560 is about 774.2384805530.

The spelling of 464113560 in words is "four hundred sixty-four million, one hundred thirteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 52981 105962 158943 211924 264905 317886 423848 529810 635772 794715 1059620 1271544 1589430 2119240 3178860 3867613 6357720 7735226 11602839 15470452 19338065 23205678 30940904 38676130 46411356 58014195 77352260 92822712 116028390 154704520 232056780 464113560