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1034215140 = 2235723910303
BaseRepresentation
bin111101101001001…
…101111011100100
32200002001120110110
4331221031323210
54104224341030
6250342453020
734425453330
oct7551157344
92602046413
101034215140
11490873162
1224a434170
1313635992a
149b4d67c0
1560bde1b0
hex3da4dee4

1034215140 has 96 divisors (see below), whose sum is σ = 3323658240. Its totient is φ = 235380096.

The previous prime is 1034215123. The next prime is 1034215141. The reversal of 1034215140 is 415124301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1034215141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95229 + ... + 105531.

It is an arithmetic number, because the mean of its divisors is an integer number (34621440).

Almost surely, 21034215140 is an apocalyptic number.

1034215140 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 1034215140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661829120).

1034215140 is an abundant number, since it is smaller than the sum of its proper divisors (2289443100).

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

1034215140 is a wasteful number, since it uses less digits than its factorization.

1034215140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10561 (or 10559 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1034215140 is about 32159.2154755056. The cubic root of 1034215140 is about 1011.2773890780.

Adding to 1034215140 its reverse (415124301), we get a palindrome (1449339441).

The spelling of 1034215140 in words is "one billion, thirty-four million, two hundred fifteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 239 420 478 717 956 1195 1434 1673 2390 2868 3346 3585 4780 5019 6692 7170 8365 10038 10303 14340 16730 20076 20606 25095 30909 33460 41212 50190 51515 61818 72121 100380 103030 123636 144242 154545 206060 216363 288484 309090 360605 432726 618180 721210 865452 1081815 1442420 2163630 2462417 4327260 4924834 7387251 9849668 12312085 14774502 17236919 24624170 29549004 34473838 36936255 49248340 51710757 68947676 73872510 86184595 103421514 147745020 172369190 206843028 258553785 344738380 517107570 1034215140