Search a number
-
+
1053460350 = 233524716603
BaseRepresentation
bin111110110010101…
…000011101111110
32201102021022221000
4332302220131332
54124141212400
6252311151130
735051156655
oct7662503576
92642238830
101053460350
114a0718398
122549754a6
1313a337627
149dca619c
1562741600
hex3eca877e

1053460350 has 96 divisors (see below), whose sum is σ = 2964810240. Its totient is φ = 274929120.

The previous prime is 1053460279. The next prime is 1053460393. The reversal of 1053460350 is 530643501.

1053460350 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 4 + 603 + 50 = 666.

It is a super-2 number, since 2×10534603502 = 2219557418044245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55149 + ... + 71751.

It is an arithmetic number, because the mean of its divisors is an integer number (30883440).

Almost surely, 21053460350 is an apocalyptic number.

1053460350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053460350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482405120).

1053460350 is an abundant number, since it is smaller than the sum of its proper divisors (1911349890).

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

1053460350 is a wasteful number, since it uses less digits than its factorization.

1053460350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16671 (or 16660 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1053460350 is about 32457.0539328510. The cubic root of 1053460350 is about 1017.5116681125.

The spelling of 1053460350 in words is "one billion, fifty-three million, four hundred sixty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 47 50 54 75 90 94 135 141 150 225 235 270 282 423 450 470 675 705 846 1175 1269 1350 1410 2115 2350 2538 3525 4230 6345 7050 10575 12690 16603 21150 31725 33206 49809 63450 83015 99618 149427 166030 249045 298854 415075 448281 498090 747135 780341 830150 896562 1245225 1494270 1560682 2241405 2341023 2490450 3735675 3901705 4482810 4682046 7023069 7471350 7803410 11207025 11705115 14046138 19508525 21069207 22414050 23410230 35115345 39017050 42138414 58525575 70230690 105346035 117051150 175576725 210692070 351153450 526730175 1053460350