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146002480 = 24513210799
BaseRepresentation
bin10001011001111…
…01001000110000
3101011201200202021
420230331020300
5244334034410
622253201224
73422000131
oct1054751060
9334650667
10146002480
1175461908
1240a90214
132432c500
1415567c88
15cc3eeda
hex8b3d230

146002480 has 60 divisors (see below), whose sum is σ = 367610400. Its totient is φ = 53903616.

The previous prime is 146002457. The next prime is 146002487. The reversal of 146002480 is 84200641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146002487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8121 + ... + 18919.

It is an arithmetic number, because the mean of its divisors is an integer number (6126840).

Almost surely, 2146002480 is an apocalyptic number.

146002480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146002480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183805200).

146002480 is an abundant number, since it is smaller than the sum of its proper divisors (221607920).

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

146002480 is a wasteful number, since it uses less digits than its factorization.

146002480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10838 (or 10819 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 146002480 is about 12083.1485962890. The cubic root of 146002480 is about 526.5667242571.

The spelling of 146002480 in words is "one hundred forty-six million, two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 2704 3380 6760 10799 13520 21598 43196 53995 86392 107990 140387 172784 215980 280774 431960 561548 701935 863920 1123096 1403870 1825031 2246192 2807740 3650062 5615480 7300124 9125155 11230960 14600248 18250310 29200496 36500620 73001240 146002480