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31242420 = 223251131509
BaseRepresentation
bin111011100101…
…1100010110100
32011210021112200
41313023202310
530444224140
63033344500
7526361526
oct167134264
964707480
1031242420
11166a9990
12a568130
13661b651
144213a16
152b22030
hex1dcb8b4

31242420 has 144 divisors (see below), whose sum is σ = 106928640. Its totient is φ = 7315200.

The previous prime is 31242397. The next prime is 31242433. The reversal of 31242420 is 2424213.

31242420 is a `hidden beast` number, since 3 + 1 + 242 + 420 = 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 = 31242393 and 31242402.

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, 61126 + ... + 61634.

It is an arithmetic number, because the mean of its divisors is an integer number (742560).

Almost surely, 231242420 is an apocalyptic number.

31242420 is a gapful number since it is divisible by the number (30) 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 31242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53464320).

31242420 is an abundant number, since it is smaller than the sum of its proper divisors (75686220).

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

31242420 is a wasteful number, since it uses less digits than its factorization.

31242420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 31242420 is about 5589.4919268213. The cubic root of 31242420 is about 314.9547932102.

Adding to 31242420 its reverse (2424213), we get a palindrome (33666633).

The spelling of 31242420 in words is "thirty-one million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 465 495 509 558 620 660 682 930 990 1018 1023 1116 1364 1395 1527 1705 1860 1980 2036 2046 2545 2790 3054 3069 3410 4092 4581 5090 5115 5580 5599 6108 6138 6820 7635 9162 10180 10230 11198 12276 15270 15345 15779 16797 18324 20460 22396 22905 27995 30540 30690 31558 33594 45810 47337 50391 55990 61380 63116 67188 78895 83985 91620 94674 100782 111980 142011 157790 167970 173569 189348 201564 236685 251955 284022 315580 335940 347138 473370 503910 520707 568044 694276 710055 867845 946740 1007820 1041414 1420110 1562121 1735690 2082828 2603535 2840220 3124242 3471380 5207070 6248484 7810605 10414140 15621210 31242420