Search a number
-
+
460270098 = 2321912710597
BaseRepresentation
bin11011011011110…
…010101000010010
31012002002010212200
4123123302220102
51420312120343
6113401104030
714256142221
oct3333625022
91162063780
10460270098
112168a0812
1210a188016
1374484492
14451b2cb8
152a61b4d3
hex1b6f2a12

460270098 has 48 divisors (see below), whose sum is σ = 1058104320. Its totient is φ = 144190368.

The previous prime is 460270093. The next prime is 460270103. The reversal of 460270098 is 890072064.

It is an interprime number because it is at equal distance from previous prime (460270093) and next prime (460270103).

It is a super-2 number, since 2×4602700982 = 423697126225859208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (460270091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38136 + ... + 48732.

It is an arithmetic number, because the mean of its divisors is an integer number (22043840).

Almost surely, 2460270098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460270098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529052160).

460270098 is an abundant number, since it is smaller than the sum of its proper divisors (597834222).

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

460270098 is a wasteful number, since it uses less digits than its factorization.

460270098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10751 (or 10748 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 460270098 is about 21453.9063575844. The cubic root of 460270098 is about 772.0953207669.

The spelling of 460270098 in words is "four hundred sixty million, two hundred seventy thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 127 171 254 342 381 762 1143 2286 2413 4826 7239 10597 14478 21194 21717 31791 43434 63582 95373 190746 201343 402686 604029 1208058 1345819 1812087 2691638 3624174 4037457 8074914 12112371 24224742 25570561 51141122 76711683 153423366 230135049 460270098