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2130302440 = 235725471987
BaseRepresentation
bin111111011111001…
…1101010111101000
312111110112120120101
41332332131113220
513330324134230
6551215435144
7103535162200
oct17676352750
95443476511
102130302440
119a3555832
124b5525ab4
1327c46a6b6
14162cd7400
15c7050aca
hex7ef9d5e8

2130302440 has 96 divisors (see below), whose sum is σ = 5588745120. Its totient is φ = 728687232.

The previous prime is 2130302437. The next prime is 2130302443. The reversal of 2130302440 is 442030312.

It is an interprime number because it is at equal distance from previous prime (2130302437) and next prime (2130302443).

It is not an unprimeable number, because it can be changed into a prime (2130302443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1071127 + ... + 1073113.

It is an arithmetic number, because the mean of its divisors is an integer number (58216095).

Almost surely, 22130302440 is an apocalyptic number.

2130302440 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 2130302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794372560).

2130302440 is an abundant number, since it is smaller than the sum of its proper divisors (3458442680).

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

2130302440 is a wasteful number, since it uses less digits than its factorization.

2130302440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2130302440 is about 46155.1994904149. The cubic root of 2130302440 is about 1286.7092456699.

Adding to 2130302440 its reverse (442030312), we get a palindrome (2572332752).

The spelling of 2130302440 in words is "two billion, one hundred thirty million, three hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 547 980 1094 1960 1987 2188 2735 3829 3974 4376 5470 7658 7948 9935 10940 13909 15316 15896 19145 19870 21880 26803 27818 30632 38290 39740 53606 55636 69545 76580 79480 97363 107212 111272 134015 139090 153160 194726 214424 268030 278180 389452 486815 536060 556360 778904 973630 1072120 1086889 1947260 2173778 3894520 4347556 5434445 7608223 8695112 10868890 15216446 21737780 30432892 38041115 43475560 53257561 60865784 76082230 106515122 152164460 213030244 266287805 304328920 426060488 532575610 1065151220 2130302440