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1301420240 = 245293715161
BaseRepresentation
bin100110110010010…
…0001100011010000
310100200211222221122
41031210201203100
510131130421430
6333045541412
744151614051
oct11544414320
93320758848
101301420240
1160868831a
12303a14868
13179814563
14c4bb0728
15793c0ee5
hex4d9218d0

1301420240 has 80 divisors (see below), whose sum is σ = 3214950480. Its totient is φ = 489000960.

The previous prime is 1301420233. The next prime is 1301420251. The reversal of 1301420240 is 420241031.

It can be written as a sum of positive squares in 8 ways, for example, as 49392784 + 1252027456 = 7028^2 + 35384^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78260 + ... + 93420.

It is an arithmetic number, because the mean of its divisors is an integer number (40186881).

Almost surely, 21301420240 is an apocalyptic number.

1301420240 is a gapful number since it is divisible by the number (10) 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 1301420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607475240).

1301420240 is an abundant number, since it is smaller than the sum of its proper divisors (1913530240).

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

1301420240 is a wasteful number, since it uses less digits than its factorization.

1301420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15240 (or 15234 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1301420240 is about 36075.2025635339. The cubic root of 1301420240 is about 1091.7901845231.

Adding to 1301420240 its reverse (420241031), we get a palindrome (1721661271).

The spelling of 1301420240 in words is "one billion, three hundred one million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 37 40 58 74 80 116 145 148 185 232 290 296 370 464 580 592 740 1073 1160 1480 2146 2320 2960 4292 5365 8584 10730 15161 17168 21460 30322 42920 60644 75805 85840 121288 151610 242576 303220 439669 560957 606440 879338 1121914 1212880 1758676 2198345 2243828 2804785 3517352 4396690 4487656 5609570 7034704 8793380 8975312 11219140 16267753 17586760 22438280 32535506 35173520 44876560 65071012 81338765 130142024 162677530 260284048 325355060 650710120 1301420240