Search a number
-
+
1014134520 = 233579411283
BaseRepresentation
bin111100011100100…
…111011011111000
32121200021101000210
4330130213123320
54034104301040
6244344231120
734063000260
oct7434473370
92550241023
101014134520
114804a8303
1224376b4a0
131321488c9
149898a7a0
155e074480
hex3c7276f8

1014134520 has 128 divisors (see below), whose sum is σ = 3483440640. Its totient is φ = 231375360.

The previous prime is 1014134509. The next prime is 1014134521. The reversal of 1014134520 is 254314101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014134521) 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, 789799 + ... + 791081.

It is an arithmetic number, because the mean of its divisors is an integer number (27214380).

Almost surely, 21014134520 is an apocalyptic number.

1014134520 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 1014134520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741720320).

1014134520 is an abundant number, since it is smaller than the sum of its proper divisors (2469306120).

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

1014134520 is a wasteful number, since it uses less digits than its factorization.

1014134520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2241 counting only the distinct ones).

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

The square root of 1014134520 is about 31845.4787999804. The cubic root of 1014134520 is about 1004.6894810582.

Adding to 1014134520 its reverse (254314101), we get a palindrome (1268448621).

The spelling of 1014134520 in words is "one billion, fourteen million, one hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 941 1283 1882 2566 2823 3764 3849 4705 5132 5646 6415 6587 7528 7698 8981 9410 10264 11292 12830 13174 14115 15396 17962 18820 19245 19761 22584 25660 26348 26943 28230 30792 32935 35924 37640 38490 39522 44905 51320 52696 53886 56460 65870 71848 76980 79044 89810 98805 107772 112920 131740 134715 153960 158088 179620 197610 215544 263480 269430 359240 395220 538860 790440 1077720 1207303 2414606 3621909 4829212 6036515 7243818 8451121 9658424 12073030 14487636 16902242 18109545 24146060 25353363 28975272 33804484 36219090 42255605 48292120 50706726 67608968 72438180 84511210 101413452 126766815 144876360 169022420 202826904 253533630 338044840 507067260 1014134520