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2454424140 = 223577973973
BaseRepresentation
bin1001001001001011…
…1000101001001100
320100001102122221210
42102102320221030
520011313033030
61043314454420
7114552155340
oct22222705114
96301378853
102454424140
11104a505203
12585b94410
1330166299c
14193d89620
15e5726bb0
hex924b8a4c

2454424140 has 96 divisors (see below), whose sum is σ = 7953684480. Its totient is φ = 553902336.

The previous prime is 2454424127. The next prime is 2454424151. The reversal of 2454424140 is 414244542.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2454424098 and 2454424107.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3807 + ... + 70166.

It is an arithmetic number, because the mean of its divisors is an integer number (82850880).

Almost surely, 22454424140 is an apocalyptic number.

2454424140 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 2454424140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976842240).

2454424140 is an abundant number, since it is smaller than the sum of its proper divisors (5499260340).

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

2454424140 is a wasteful number, since it uses less digits than its factorization.

2454424140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74071 (or 74069 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The square root of 2454424140 is about 49542.1450888029. The cubic root of 2454424140 is about 1348.9107152813.

Adding to 2454424140 its reverse (414244542), we get a palindrome (2868668682).

It can be divided in two parts, 24544 and 24140, that added together give a palindrome (48684).

The spelling of 2454424140 in words is "two billion, four hundred fifty-four million, four hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 79 84 105 140 158 210 237 316 395 420 474 553 790 948 1106 1185 1580 1659 2212 2370 2765 3318 4740 5530 6636 8295 11060 16590 33180 73973 147946 221919 295892 369865 443838 517811 739730 887676 1035622 1109595 1479460 1553433 2071244 2219190 2589055 3106866 4438380 5178110 5843867 6213732 7767165 10356220 11687734 15534330 17531601 23375468 29219335 31068660 35063202 40907069 58438670 70126404 81814138 87658005 116877340 122721207 163628276 175316010 204535345 245442414 350632020 409070690 490884828 613606035 818141380 1227212070 2454424140