Search a number
-
+
2496420 = 223452367
BaseRepresentation
bin1001100001011110100100
311200211110000
421201132210
51114341140
6125301300
730135123
oct11413644
94624400
102496420
111455663
12a04830
13695394
1448daba
15344a30
hex2617a4

2496420 has 120 divisors (see below), whose sum is σ = 8293824. Its totient is φ = 627264.

The previous prime is 2496413. The next prime is 2496421. The reversal of 2496420 is 246942.

It is a super-2 number, since 2×24964202 = 12464225632800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2496421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37227 + ... + 37293.

22496420 is an apocalyptic number.

2496420 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 2496420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146912).

2496420 is an abundant number, since it is smaller than the sum of its proper divisors (5797404).

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

2496420 is a wasteful number, since it uses less digits than its factorization.

2496420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2496420 is about 1580.0063291012. The cubic root of 2496420 is about 135.6560657811.

It can be divided in two parts, 2496 and 420, that added together give a square (2916 = 542).

The spelling of 2496420 in words is "two million, four hundred ninety-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 67 69 81 90 92 108 115 134 135 138 162 180 201 207 230 268 270 276 324 335 345 402 405 414 460 540 603 621 670 690 804 810 828 1005 1035 1206 1242 1340 1380 1541 1620 1809 1863 2010 2070 2412 2484 3015 3082 3105 3618 3726 4020 4140 4623 5427 6030 6164 6210 7236 7452 7705 9045 9246 9315 10854 12060 12420 13869 15410 18090 18492 18630 21708 23115 27135 27738 30820 36180 37260 41607 46230 54270 55476 69345 83214 92460 108540 124821 138690 166428 208035 249642 277380 416070 499284 624105 832140 1248210 2496420