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613011420 = 2232571014817
BaseRepresentation
bin100100100010011…
…100111111011100
31120201111012120200
4210202130333130
52223412331140
6140454543500
721122340210
oct4442347734
91521435520
10613011420
1129503560a
12151367b90
139a003068
145b5b2940
1538c3d030
hex2489cfdc

613011420 has 144 divisors (see below), whose sum is σ = 2146592448. Its totient is φ = 138700800.

The previous prime is 613011389. The next prime is 613011437. The reversal of 613011420 is 24110316.

It is a happy number.

613011420 is a `hidden beast` number, since 613 + 0 + 11 + 42 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 613011393 and 613011402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124852 + ... + 129668.

It is an arithmetic number, because the mean of its divisors is an integer number (14906892).

Almost surely, 2613011420 is an apocalyptic number.

613011420 is a gapful number since it is divisible by the number (60) 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 613011420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073296224).

613011420 is an abundant number, since it is smaller than the sum of its proper divisors (1533581028).

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

613011420 is a wasteful number, since it uses less digits than its factorization.

613011420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940 (or 4935 counting only the distinct ones).

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

The square root of 613011420 is about 24759.0674299336. The cubic root of 613011420 is about 849.4859267562.

Adding to 613011420 its reverse (24110316), we get a palindrome (637121736).

The spelling of 613011420 in words is "six hundred thirteen million, eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 101 105 126 140 180 202 210 252 303 315 404 420 505 606 630 707 909 1010 1212 1260 1414 1515 1818 2020 2121 2828 3030 3535 3636 4242 4545 4817 6060 6363 7070 8484 9090 9634 10605 12726 14140 14451 18180 19268 21210 24085 25452 28902 31815 33719 42420 43353 48170 57804 63630 67438 72255 86706 96340 101157 127260 134876 144510 168595 173412 202314 216765 289020 303471 337190 404628 433530 486517 505785 606942 674380 867060 973034 1011570 1213884 1459551 1517355 1946068 2023140 2432585 2919102 3034710 3405619 4378653 4865170 5838204 6069420 6811238 7297755 8757306 9730340 10216857 13622476 14595510 17028095 17514612 20433714 21893265 29191020 30650571 34056190 40867428 43786530 51084285 61301142 68112380 87573060 102168570 122602284 153252855 204337140 306505710 613011420