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1201140440 = 23517892223
BaseRepresentation
bin100011110010111…
…1111001011011000
310002201011020220222
41013211333023120
54424442443230
6315104335212
741523345113
oct10745771330
93081136828
101201140440
11567015655
12296314508
13161b035b6
14b574957a
15706b36e5
hex4797f2d8

1201140440 has 96 divisors (see below), whose sum is σ = 2907031680. Its totient is φ = 445108224.

The previous prime is 1201140403. The next prime is 1201140443. The reversal of 1201140440 is 440411021.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201140443) 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, 5386169 + ... + 5386391.

It is an arithmetic number, because the mean of its divisors is an integer number (30281580).

Almost surely, 21201140440 is an apocalyptic number.

1201140440 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 1201140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453515840).

1201140440 is an abundant number, since it is smaller than the sum of its proper divisors (1705891240).

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

1201140440 is a wasteful number, since it uses less digits than its factorization.

1201140440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1201140440 is about 34657.4730758029. The cubic root of 1201140440 is about 1062.9951010230.

Adding to 1201140440 its reverse (440411021), we get a palindrome (1641551461).

The spelling of 1201140440 in words is "one billion, two hundred one million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 89 136 170 178 223 340 356 445 446 680 712 890 892 1115 1513 1780 1784 2230 3026 3560 3791 4460 6052 7565 7582 7921 8920 12104 15130 15164 15842 18955 19847 30260 30328 31684 37910 39605 39694 60520 63368 75820 79210 79388 99235 134657 151640 158420 158776 198470 269314 316840 337399 396940 538628 673285 674798 793880 1077256 1346570 1349596 1686995 1766383 2693140 2699192 3373990 3532766 5386280 6747980 7065532 8831915 13495960 14131064 17663830 30028511 35327660 60057022 70655320 120114044 150142555 240228088 300285110 600570220 1201140440