Search a number
-
+
2465750420 = 2257235912979
BaseRepresentation
bin1001001011111000…
…0101110110010100
320100211202002200122
42102332011312110
520022213003140
61044401331112
7115050350510
oct22276056624
96324662618
102465750420
111055940871
12589936a98
13303aca123
14195697140
15e6712ab5
hex92f85d94

2465750420 has 96 divisors (see below), whose sum is σ = 6280243200. Its totient is φ = 794876544.

The previous prime is 2465750393. The next prime is 2465750467. The reversal of 2465750420 is 240575642.

2465750420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183491 + ... + 196469.

It is an arithmetic number, because the mean of its divisors is an integer number (65419200).

Almost surely, 22465750420 is an apocalyptic number.

2465750420 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 2465750420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140121600).

2465750420 is an abundant number, since it is smaller than the sum of its proper divisors (3814492780).

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

2465750420 is a wasteful number, since it uses less digits than its factorization.

2465750420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13077 (or 13075 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The square root of 2465750420 is about 49656.3230616203. The cubic root of 2465750420 is about 1350.9824435319.

The spelling of 2465750420 in words is "two billion, four hundred sixty-five million, seven hundred fifty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 59 70 92 115 118 140 161 230 236 295 322 413 460 590 644 805 826 1180 1357 1610 1652 2065 2714 3220 4130 5428 6785 8260 9499 12979 13570 18998 25958 27140 37996 47495 51916 64895 90853 94990 129790 181706 189980 259580 298517 363412 454265 597034 765761 908530 1194068 1492585 1531522 1817060 2089619 2985170 3063044 3828805 4179238 5360327 5970340 7657610 8358476 10448095 10720654 15315220 17612503 20896190 21441308 26801635 35225006 41792380 53603270 70450012 88062515 107206540 123287521 176125030 246575042 352250060 493150084 616437605 1232875210 2465750420