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610014132 = 223372138867
BaseRepresentation
bin100100010111000…
…001001110110100
31120111211221002000
4210113001032310
52222130423012
6140310415300
721055014600
oct4427011664
91514757060
10610014132
11293378712
12150361530
13994c3a10
145b032500
1538849ddc
hex245c13b4

610014132 has 144 divisors (see below), whose sum is σ = 1981465920. Its totient is φ = 160864704.

The previous prime is 610014131. The next prime is 610014191. The reversal of 610014132 is 231410016.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610014131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64363 + ... + 73229.

It is an arithmetic number, because the mean of its divisors is an integer number (13760180).

Almost surely, 2610014132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610014132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990732960).

610014132 is an abundant number, since it is smaller than the sum of its proper divisors (1371451788).

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

610014132 is a wasteful number, since it uses less digits than its factorization.

610014132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8907 (or 8892 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 610014132 is about 24698.4641627774. The cubic root of 610014132 is about 848.0991581123.

Adding to 610014132 its reverse (231410016), we get a palindrome (841424148).

The spelling of 610014132 in words is "six hundred ten million, fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 108 117 126 147 156 182 189 196 234 252 273 294 351 364 378 441 468 546 588 637 702 756 819 882 1092 1274 1323 1404 1638 1764 1911 2457 2548 2646 3276 3822 4914 5292 5733 7644 8867 9828 11466 17199 17734 22932 26601 34398 35468 53202 62069 68796 79803 106404 115271 124138 159606 186207 230542 239409 248276 319212 345813 372414 434483 461084 478818 558621 691626 744828 806897 868966 957636 1037439 1117242 1303449 1383252 1613794 1675863 1737932 2074878 2234484 2420691 2606898 3112317 3227588 3351726 3910347 4149756 4841382 5213796 5648279 6224634 6703452 7262073 7820694 9682764 11296558 11731041 12449268 14524146 15641388 16944837 21786219 22593116 23462082 29048292 33889674 43572438 46924164 50834511 67779348 87144876 101669022 152503533 203338044 305007066 610014132