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2253420 = 2234513107
BaseRepresentation
bin1000100110001001101100
311020111010000
420212021230
51034102140
6120144300
725103511
oct10461154
94214100
102253420
1112aa034
12908090
1360b8b0
14429308
152e7a30
hex22626c

2253420 has 120 divisors (see below), whose sum is σ = 7683984. Its totient is φ = 549504.

The previous prime is 2253409. The next prime is 2253439. The reversal of 2253420 is 243522.

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 = 2253393 and 2253402.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21007 + ... + 21113.

22253420 is an apocalyptic number.

2253420 is a gapful number since it is divisible by the number (20) 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 2253420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841992).

2253420 is an abundant number, since it is smaller than the sum of its proper divisors (5430564).

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

2253420 is a wasteful number, since it uses less digits than its factorization.

2253420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2253420 is about 1501.1395671289. The cubic root of 2253420 is about 131.1034282155.

Adding to 2253420 its reverse (243522), we get a palindrome (2496942).

The spelling of 2253420 in words is "two million, two hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 107 108 117 130 135 156 162 180 195 214 234 260 270 321 324 351 390 405 428 468 535 540 585 642 702 780 810 963 1053 1070 1170 1284 1391 1404 1605 1620 1755 1926 2106 2140 2340 2782 2889 3210 3510 3852 4173 4212 4815 5265 5564 5778 6420 6955 7020 8346 8667 9630 10530 11556 12519 13910 14445 16692 17334 19260 20865 21060 25038 27820 28890 34668 37557 41730 43335 50076 57780 62595 75114 83460 86670 112671 125190 150228 173340 187785 225342 250380 375570 450684 563355 751140 1126710 2253420